Pith Number

pith:YADN5YH5

pith:2020:YADN5YH5FXITQFPPJALJP5GPAJ

not attested not anchored not stored refs pending

Combinatorial origins of the canonical ensemble

Grzegorz Siudem, Kornelia Ufniarz

arxiv:2008.00244 v1 · 2020-08-01 · math-ph · 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{YADN5YH5FXITQFPPJALJP5GPAJ}

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.

Cited by

1 paper in Pith

Boltzmann Distribution from Invariance of Coarse-Graining-Scale and Energy-Shift

Receipt and verification

First computed	2026-07-05T01:24:05.908151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c006dee0fd2dd13815ef481697f4cf025958e8f90106d00b0d0edbfeadccd98f

Aliases

arxiv: 2008.00244 · arxiv_version: 2008.00244v1 · doi: 10.48550/arxiv.2008.00244 · pith_short_12: YADN5YH5FXIT · pith_short_16: YADN5YH5FXITQFPP · pith_short_8: YADN5YH5

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/YADN5YH5FXITQFPPJALJP5GPAJ \
  | 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: c006dee0fd2dd13815ef481697f4cf025958e8f90106d00b0d0edbfeadccd98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faccf77403541dec404af1fdd79a23810e8070953e661c8dcb7a4a3f7e094c19",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-08-01T11:09:48Z",
    "title_canon_sha256": "19af1a71a98d325d44c20053ba5f2fb834e86f1f2f3c9afd3a8abdef0ce4ad6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00244",
    "kind": "arxiv",
    "version": 1
  }
}