Pith Number

pith:2YOPR75R

pith:2011:2YOPR75R7QWGFQH2QP2K3QBPLB

not attested not anchored not stored refs pending

Equation of State from Potts-Percolation Model of a Solid

Hung the Diep (LPTM), Miron Kaufman

arxiv:1107.1137 v2 · 2011-07-06 · 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{2YOPR75R7QWGFQH2QP2K3QBPLB}

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	2026-05-18T02:01:22.474234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61cf8ffb1fc2c62c0fa83f4adc02f58520d3f35e7fbce01fd472ea040c785a3

Aliases

arxiv: 1107.1137 · arxiv_version: 1107.1137v2 · doi: 10.48550/arxiv.1107.1137 · pith_short_12: 2YOPR75R7QWG · pith_short_16: 2YOPR75R7QWGFQH2 · pith_short_8: 2YOPR75R

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/2YOPR75R7QWGFQH2QP2K3QBPLB \
  | 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: d61cf8ffb1fc2c62c0fa83f4adc02f58520d3f35e7fbce01fd472ea040c785a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4af5e8a7c19ae754bd77974fb09f65d5bc83fa33f2055bdca4633dc9d46678",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-06T14:00:00Z",
    "title_canon_sha256": "f4968b61bada494b42d566ab35f0805d88c1ce4cabc728325dc4f2cfbd29f45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1137",
    "kind": "arxiv",
    "version": 2
  }
}