Pith Number

pith:W6FHCRWZ

pith:2010:W6FHCRWZQL3XUN7UCM3R7ZGYDJ

not attested not anchored not stored refs pending

The grand canonical ABC model: a reflection asymmetric mean field Potts model

Eugene R. Speer, Joel L. Lebowitz, John Barton

arxiv:1010.1180 v2 · 2010-10-06 · 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{W6FHCRWZQL3XUN7UCM3R7ZGYDJ}

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	2026-05-18T02:52:42.503113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78a7146d982f77a37f413371fe4d81a531eec425ef410de5df8a3e88c62cfcf

Aliases

arxiv: 1010.1180 · arxiv_version: 1010.1180v2 · doi: 10.48550/arxiv.1010.1180 · pith_short_12: W6FHCRWZQL3X · pith_short_16: W6FHCRWZQL3XUN7U · pith_short_8: W6FHCRWZ

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/W6FHCRWZQL3XUN7UCM3R7ZGYDJ \
  | 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: b78a7146d982f77a37f413371fe4d81a531eec425ef410de5df8a3e88c62cfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af822bdf0d1549d20db50772e71f0eb4efe37bda6647f56ac214d5e1146129a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-10-06T15:42:37Z",
    "title_canon_sha256": "e496d76b506dcb759eee40887ca1ef1457b83ea43f513e516124605a02f6557a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1180",
    "kind": "arxiv",
    "version": 2
  }
}