Pith Number

pith:VAKCV3ZL

pith:2010:VAKCV3ZLXK6FSKOOJLISLSQRMB

not attested not anchored not stored refs pending

Lower Bounds on the Ground State Entropy of the Potts Antiferromagnet on Slabs of the Simple Cubic Lattice

Robert Shrock, Yan Xu

arxiv:1001.1958 v1 · 2010-01-12 · 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{VAKCV3ZLXK6FSKOOJLISLSQRMB}

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	2026-05-18T02:44:23.825709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8142aef2bbabc5929ce4ad125ca11606c17702f0539e2422e087d278fb6569d

Aliases

arxiv: 1001.1958 · arxiv_version: 1001.1958v1 · doi: 10.48550/arxiv.1001.1958 · pith_short_12: VAKCV3ZLXK6F · pith_short_16: VAKCV3ZLXK6FSKOO · pith_short_8: VAKCV3ZL

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/VAKCV3ZLXK6FSKOOJLISLSQRMB \
  | 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: a8142aef2bbabc5929ce4ad125ca11606c17702f0539e2422e087d278fb6569d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c101a360bbc0abbae58c16298ba2b73cce19058f05bea1dbc0d79af5bb1106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-01-12T17:54:25Z",
    "title_canon_sha256": "f7266dd800813a6438e3cc315e6252b4311e0f1f8d33fc1fcdc55064c5330204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1958",
    "kind": "arxiv",
    "version": 1
  }
}