Pith Number

pith:G2L4BW4B

pith:2011:G2L4BW4BG2OYDR7OIV733LO7WF

not attested not anchored not stored refs pending

Phase fluctuations in the ABC model

Bernard Derrida, Thierry Bodineau

arxiv:1108.2039 v1 · 2011-08-09 · 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{G2L4BW4BG2OYDR7OIV733LO7WF}

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	2026-05-18T02:00:59.601844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3697c0db81369d81c7ee457fbdaddfb15ff94f3771bb92623da3c9d501dd7093

Aliases

arxiv: 1108.2039 · arxiv_version: 1108.2039v1 · doi: 10.48550/arxiv.1108.2039 · pith_short_12: G2L4BW4BG2OY · pith_short_16: G2L4BW4BG2OYDR7O · pith_short_8: G2L4BW4B

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/G2L4BW4BG2OYDR7OIV733LO7WF \
  | 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: 3697c0db81369d81c7ee457fbdaddfb15ff94f3771bb92623da3c9d501dd7093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01c0b951a996bd0f3e73c07e28a4fdda891458ec9ec7c84843e487bed38a0ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-08-09T20:19:08Z",
    "title_canon_sha256": "f22283543da2e69c516980ba1885dc9efedc20883d2d63045561b1b80edb0f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2039",
    "kind": "arxiv",
    "version": 1
  }
}