Pith Number

pith:CL7FDT6Y

pith:2019:CL7FDT6YW2W4XGEVLPVQV6PQ6N

not attested not anchored not stored refs pending

Virial coefficients expressed by heat kernel coefficients

Mi Xie, Xia-Qing Xu

arxiv:1904.06496 v1 · 2019-04-13 · 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{CL7FDT6YW2W4XGEVLPVQV6PQ6N}

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	2026-05-17T23:48:39.017284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fe51cfd8b6adcb98955beb0af9f0f3760a619f380527578dd430b6ad6f5edf

Aliases

arxiv: 1904.06496 · arxiv_version: 1904.06496v1 · doi: 10.48550/arxiv.1904.06496 · pith_short_12: CL7FDT6YW2W4 · pith_short_16: CL7FDT6YW2W4XGEV · pith_short_8: CL7FDT6Y

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/CL7FDT6YW2W4XGEVLPVQV6PQ6N \
  | 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: 12fe51cfd8b6adcb98955beb0af9f0f3760a619f380527578dd430b6ad6f5edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7574c20d646e46478bf4c4869d82793d9268a96e354c5e03ae4674f88aa53228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-04-13T07:14:41Z",
    "title_canon_sha256": "3ed9b6a0a96f2cd0dfd8c930e5a2bda468e370033ef0554599556be44e73d135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06496",
    "kind": "arxiv",
    "version": 1
  }
}