Pith Number

pith:N7THDFGG

pith:2025:N7THDFGGN4SNMC3DXGLZNT6PJE

not attested not anchored not stored refs pending

$\mathcal{Z}$-stable Graph Algebras

Gregory Faurot

arxiv:2511.02760 v2 · 2025-11-04 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7THDFGGN4SNMC3DXGLZNT6PJE}

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	2026-07-30T01:16:27.357221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

6fe67194c66f24d60b63b99796cfcf4936ae553c1ea4c14cd9cf626ff14aa3f5

Aliases

arxiv: 2511.02760 · arxiv_version: 2511.02760v2 · doi: 10.48550/arxiv.2511.02760 · pith_short_12: N7THDFGGN4SN · pith_short_16: N7THDFGGN4SNMC3D · pith_short_8: N7THDFGG

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/N7THDFGGN4SNMC3DXGLZNT6PJE \
  | 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: 6fe67194c66f24d60b63b99796cfcf4936ae553c1ea4c14cd9cf626ff14aa3f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5d9342e32cc59f13ad6e6513e42faf5beb006052846c25fd14328f5de0c5e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-11-04T17:37:44Z",
    "title_canon_sha256": "105974eccabf578a87cae11eab4c5c9c7166e89306247b3f8990a0bde580bfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.02760",
    "kind": "arxiv",
    "version": 2
  }
}