Pith Number

pith:GMMUYKRK

pith:2026:GMMUYKRKX6EZ3ZQUKYWHSSDSNU

not attested not anchored not stored refs pending

Definable Eventual Equalizers

Julian Ziegler Hunts

arxiv:2606.29642 v1 · 2026-06-28 · math.LO · math.AC · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMMUYKRKX6EZ3ZQUKYWHSSDSNU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-30T01:18:20.905084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33194c2a2abf899de614562c7948726d0b2739d2d5b116cc7c5341ca65849f4f

Aliases

arxiv: 2606.29642 · arxiv_version: 2606.29642v1 · doi: 10.48550/arxiv.2606.29642 · pith_short_12: GMMUYKRKX6EZ · pith_short_16: GMMUYKRKX6EZ3ZQU · pith_short_8: GMMUYKRK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GMMUYKRKX6EZ3ZQUKYWHSSDSNU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 33194c2a2abf899de614562c7948726d0b2739d2d5b116cc7c5341ca65849f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2251cf5a1a154b3c300af8e74ad5461a10a8ba528c720e730b218ba2a3ef05",
    "cross_cats_sorted": [
      "math.AC",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-28T23:16:00Z",
    "title_canon_sha256": "aa8f4f63af2d5ec9f11caf3df7060c60bb4a0c602085e4a3047ee4f1db6f6d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29642",
    "kind": "arxiv",
    "version": 1
  }
}