Pith Number

pith:IJ5QJ5MU

pith:2016:IJ5QJ5MUV7AM4QBOO6QA3NXIGZ

not attested not anchored not stored refs pending

Equilibrium states on graph algebras

Astrid an Huef, Iain Raeburn

arxiv:1603.05757 v1 · 2016-03-18 · 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{IJ5QJ5MUV7AM4QBOO6QA3NXIGZ}

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	2026-05-18T01:18:53.617729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427b04f594afc0ce402e77a00db6e8365db7647fef6741001b7a982653bf56ae

Aliases

arxiv: 1603.05757 · arxiv_version: 1603.05757v1 · doi: 10.48550/arxiv.1603.05757 · pith_short_12: IJ5QJ5MUV7AM · pith_short_16: IJ5QJ5MUV7AM4QBO · pith_short_8: IJ5QJ5MU

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/IJ5QJ5MUV7AM4QBOO6QA3NXIGZ \
  | 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: 427b04f594afc0ce402e77a00db6e8365db7647fef6741001b7a982653bf56ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1d7e8955b6c3802343bdbbc3e78c2fb7f4cfdb4c2c732ef29c7135121b6245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-03-18T03:32:39Z",
    "title_canon_sha256": "c4a207edbcf039cb14f7f7d544409f37c3addfe04ddf16697e7ab5b87f255b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05757",
    "kind": "arxiv",
    "version": 1
  }
}