Pith Number

pith:FGJUCEJ2

pith:2010:FGJUCEJ2HWFXSAEVKSUOLJDYBS

not attested not anchored not stored refs pending

The Gibbs Paradox and the Distinguishability of Identical Particles

Dennis Dieks, Marijn A.M. Versteegh

arxiv:1012.4111 v2 · 2010-12-18 · 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{FGJUCEJ2HWFXSAEVKSUOLJDYBS}

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	2026-05-18T02:04:22.441067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

299341113a3d8b79009554a8e5a4780c83dc082b672fafa23d33b40720769cd3

Aliases

arxiv: 1012.4111 · arxiv_version: 1012.4111v2 · doi: 10.48550/arxiv.1012.4111 · pith_short_12: FGJUCEJ2HWFX · pith_short_16: FGJUCEJ2HWFXSAEV · pith_short_8: FGJUCEJ2

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/FGJUCEJ2HWFXSAEVKSUOLJDYBS \
  | 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: 299341113a3d8b79009554a8e5a4780c83dc082b672fafa23d33b40720769cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1590ee4fd7af8bb7965ae18b76d08e3f33affbeb2b4061aac652fd5cca84b358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-18T18:41:12Z",
    "title_canon_sha256": "af9a6d966a6ffa563f793521639dbb5da680cae25185ecffcb9c0660b55434fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4111",
    "kind": "arxiv",
    "version": 2
  }
}