Pith Number

pith:6ERRPDMD

pith:2011:6ERRPDMD5EM4TMYNLLANLP5XDF

not attested not anchored not stored refs pending

Information Symmetries in Irreversible Processes

Christopher J. Ellison, James P. Crutchfield, Joerg Reichardt, John R. Mahoney, Ryan G. James

arxiv:1107.2168 v1 · 2011-07-12 · cond-mat.stat-mech · cs.IT · math.IT · math.ST · nlin.CD · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ERRPDMD5EM4TMYNLLANLP5XDF}

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	2026-05-18T02:01:19.989120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f123178d83e919c9b30d5ac0d5bfb7195c661a271a72a2784140fd41ed6fe6fa

Aliases

arxiv: 1107.2168 · arxiv_version: 1107.2168v1 · doi: 10.48550/arxiv.1107.2168 · pith_short_12: 6ERRPDMD5EM4 · pith_short_16: 6ERRPDMD5EM4TMYN · pith_short_8: 6ERRPDMD

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/6ERRPDMD5EM4TMYNLLANLP5XDF \
  | 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: f123178d83e919c9b30d5ac0d5bfb7195c661a271a72a2784140fd41ed6fe6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee7bdec77f8b12a2ea322b7ae7547b688377b6658ef71fa91bc662f257b8a2b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "nlin.CD",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-12T00:09:54Z",
    "title_canon_sha256": "e67a0aef35e6fcfc53d00ff48a4f603bd522682cd621f0efd7d88d8479af984c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2168",
    "kind": "arxiv",
    "version": 1
  }
}