Pith Number

pith:QEUXNCPE

pith:2011:QEUXNCPEHENFH3N5JJPEWK7YBI

not attested not anchored not stored refs pending

A combinatorial proof of tree decay of semi-invariants

Emilio N. M. Cirillo, E. Olivieri, L. Bertini

arxiv:1110.6034 v1 · 2011-10-27 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEUXNCPEHENFH3N5JJPEWK7YBI}

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	2026-05-18T02:00:03.183024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81297689e4391a53edbd4a5e4b2bf80a240c0add05f3ce68de381030c2c5b201

Aliases

arxiv: 1110.6034 · arxiv_version: 1110.6034v1 · doi: 10.48550/arxiv.1110.6034 · pith_short_12: QEUXNCPEHENF · pith_short_16: QEUXNCPEHENFH3N5 · pith_short_8: QEUXNCPE

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/QEUXNCPEHENFH3N5JJPEWK7YBI \
  | 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: 81297689e4391a53edbd4a5e4b2bf80a240c0add05f3ce68de381030c2c5b201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0175721ac9fb1f9b77b68b0356a9b58c8d822fb802d43f71ced8c36bd9f019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-27T09:50:24Z",
    "title_canon_sha256": "e4b7812fb51613397b743946b88b13cc421cefb46a2bf6e3222c51f1619f3137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6034",
    "kind": "arxiv",
    "version": 1
  }
}