Pith Number

pith:OAXA2PVF

pith:2026:OAXA2PVFA3DSFEU2OZKNVYKY52

not attested not anchored not stored refs pending

An atomic criterion for irrationality without quantum computations

Aideen Fay, J\'er\'emy Gu\'er\'e (IF), Laurent Manivel (I2M), Nicolas Perrin (CMLS), Vladimiro Benedetti (LJAD)

arxiv:2607.26718 v1 · 2026-07-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAXA2PVFA3DSFEU2OZKNVYKY52}

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	2026-07-30T01:22:03.135566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

702e0d3ea506c722929a7654dae158ee9fbc07592fd8818594dcdd8ca54c5843

Aliases

arxiv: 2607.26718 · arxiv_version: 2607.26718v1 · doi: 10.48550/arxiv.2607.26718 · pith_short_12: OAXA2PVFA3DS · pith_short_16: OAXA2PVFA3DSFEU2 · pith_short_8: OAXA2PVF

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/OAXA2PVFA3DSFEU2OZKNVYKY52 \
  | 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: 702e0d3ea506c722929a7654dae158ee9fbc07592fd8818594dcdd8ca54c5843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e95b225d968898aac7774912866b13c73049eee0eeb4198ed9edfaf4b3094555",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-29T10:07:13Z",
    "title_canon_sha256": "b8e3930def9cbb6d900c711079620b4a6f125f2ff68febd64bcd68aeadee12d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26718",
    "kind": "arxiv",
    "version": 1
  }
}