Pith Number

pith:WKXLCDDK

pith:2016:WKXLCDDK46BTWYX5ZO34FHS6HN

not attested not anchored not stored refs pending

Entropic fluctuations in thermally driven harmonic networks

Armen Shirikyan, Claude-Alain Pillet, Vojkan Jaksic

arxiv:1606.01498 v1 · 2016-06-05 · math-ph · math.DS · math.MP · math.PR · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKXLCDDK46BTWYX5ZO34FHS6HN}

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	2026-05-18T01:00:34.811532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2aeb10c6ae7833b62fdcbb7c29e5e3b710feb8c8524b02d6f9aa231571d1e1e

Aliases

arxiv: 1606.01498 · arxiv_version: 1606.01498v1 · doi: 10.48550/arxiv.1606.01498 · pith_short_12: WKXLCDDK46BT · pith_short_16: WKXLCDDK46BTWYX5 · pith_short_8: WKXLCDDK

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/WKXLCDDK46BTWYX5ZO34FHS6HN \
  | 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: b2aeb10c6ae7833b62fdcbb7c29e5e3b710feb8c8524b02d6f9aa231571d1e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041e532374d86391f58d5bc6a73b6673c90aba6a5b1bf0f2ce2e4841719fd759",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.PR",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-05T11:56:20Z",
    "title_canon_sha256": "5b6c0204f298192dd6ea96be8d4f283b027d953530653402d7e254f7833184a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01498",
    "kind": "arxiv",
    "version": 1
  }
}