Pith Number

pith:NRQYJIBU

pith:2012:NRQYJIBUVCJ62RMLUUIHDEHYK3

not attested not anchored not stored refs pending

Virial expansion coefficients in the harmonic approximation

A. S. Jensen, D. V. Fedorov, J. R. Armstrong, N. T. Zinner

arxiv:1205.2574 v3 · 2012-05-11 · cond-mat.stat-mech · cond-mat.quant-gas · nucl-th · quant-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{NRQYJIBUVCJ62RMLUUIHDEHYK3}

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	2026-05-18T03:37:52.873918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6184a034a893ed458ba5107190f856f002db5ba79124712ef6ae4a414b2d6d

Aliases

arxiv: 1205.2574 · arxiv_version: 1205.2574v3 · doi: 10.48550/arxiv.1205.2574 · pith_short_12: NRQYJIBUVCJ6 · pith_short_16: NRQYJIBUVCJ62RML · pith_short_8: NRQYJIBU

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/NRQYJIBUVCJ62RMLUUIHDEHYK3 \
  | 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: 6c6184a034a893ed458ba5107190f856f002db5ba79124712ef6ae4a414b2d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d38960418bce847948709707c29e040d009856cdc0851d1480e3784a5c968df",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "nucl-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-05-11T16:52:15Z",
    "title_canon_sha256": "9072a55a5768a863b6a3f177bf20dbdf1f77db64d3f8aa10e783a0e6c2e23635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2574",
    "kind": "arxiv",
    "version": 3
  }
}