Pith Number

pith:2SWVPTPK

pith:2012:2SWVPTPKUT7EAU27R4PLRXJKIG

not attested not anchored not stored refs pending

A quantum solution to Gibbs Paradox with few particles

C. P. Sun, C. Y. Cai, H. Dong

arxiv:1201.3395 v1 · 2012-01-16 · quant-ph · 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{2SWVPTPKUT7EAU27R4PLRXJKIG}

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	2026-05-18T04:04:29.476609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ad57cdeaa4fe40535f8f1eb8dd2a41a1b98716eb69d50a6eb577a6da788fda

Aliases

arxiv: 1201.3395 · arxiv_version: 1201.3395v1 · doi: 10.48550/arxiv.1201.3395 · pith_short_12: 2SWVPTPKUT7E · pith_short_16: 2SWVPTPKUT7EAU27 · pith_short_8: 2SWVPTPK

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/2SWVPTPKUT7EAU27R4PLRXJKIG \
  | 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: d4ad57cdeaa4fe40535f8f1eb8dd2a41a1b98716eb69d50a6eb577a6da788fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5711006316b4227941ebb5af1e0e2fdd57fbb3b0e7a166ad0381f357da876324",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-16T23:55:48Z",
    "title_canon_sha256": "0615547a2f6fda4d88f0b90babe160162bb84fb767018fcc7315b8858ddf94f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3395",
    "kind": "arxiv",
    "version": 1
  }
}