Pith Number

pith:BXI3PFTU

pith:2014:BXI3PFTUZG6LBRFCT32NV2IAJ3

not attested not anchored not stored refs pending

Finite Differences of the Logarithm of the Partition Function

Gary Y.B. Xie, Larry X.W. Wang, William Y.C. Chen

arxiv:1407.0177 v1 · 2014-07-01 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXI3PFTUZG6LBRFCT32NV2IAJ3}

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	2026-05-18T02:48:34.953299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd1b79674c9bcb0c4a29ef4dae9004ee5d4d3d47b20c3b0100193548fc93e3e

Aliases

arxiv: 1407.0177 · arxiv_version: 1407.0177v1 · doi: 10.48550/arxiv.1407.0177 · pith_short_12: BXI3PFTUZG6L · pith_short_16: BXI3PFTUZG6LBRFC · pith_short_8: BXI3PFTU

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/BXI3PFTUZG6LBRFCT32NV2IAJ3 \
  | 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: 0dd1b79674c9bcb0c4a29ef4dae9004ee5d4d3d47b20c3b0100193548fc93e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748458812cebcac90e10fb766b9fb437300dc85d08bfc139bd752cd67daca465",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-01T10:37:52Z",
    "title_canon_sha256": "d3d58a6da2e65f427325b3438abc3744e51c0da652b55aaf68da767bb4891d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0177",
    "kind": "arxiv",
    "version": 1
  }
}