Pith Number

pith:4MCG5Z3L

pith:2011:4MCG5Z3LHWM23K7PJOBW3UJFKV

not attested not anchored not stored refs pending

Network representations of non-equilibrium steady states: Cycle decompositions, symmetries and dominant paths

Bernhard Altaner, J\"urgen Vollmer, Lukas Katth\"an, Marc Timme, Stefan Grosskinsky, Stephan Herminghaus

arxiv:1105.2178 v2 · 2011-05-11 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MCG5Z3LHWM23K7PJOBW3UJFKV}

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	2026-05-18T03:54:39.451081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3046ee76b3d99adabef4b836dd125556a92b69edc23a654b3762fbc9ade63ae

Aliases

arxiv: 1105.2178 · arxiv_version: 1105.2178v2 · doi: 10.48550/arxiv.1105.2178 · pith_short_12: 4MCG5Z3LHWM2 · pith_short_16: 4MCG5Z3LHWM23K7P · pith_short_8: 4MCG5Z3L

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/4MCG5Z3LHWM23K7PJOBW3UJFKV \
  | 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: e3046ee76b3d99adabef4b836dd125556a92b69edc23a654b3762fbc9ade63ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fa3c7945b7668e087a90c5876e32f62f3a4c42dba49aa2c98f1971adac24f6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-11T13:10:45Z",
    "title_canon_sha256": "d4c905dbeebd3d5cd37dd8d0ce9d02870a4d6784af6b8daf55900ba41375d401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2178",
    "kind": "arxiv",
    "version": 2
  }
}