Pith Number

pith:QUWXHLIP

pith:2013:QUWXHLIPDJUUDI2SWAEXDXG73I

not attested not anchored not stored refs pending

Calculating statistical distributions from operator relations: the statistical distributions of various intermediate statistics

Mi Xie, Wu-Sheng Dai

arxiv:1312.4856 v1 · 2013-12-17 · 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{QUWXHLIPDJUUDI2SWAEXDXG73I}

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	2026-05-18T01:45:45.119839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

852d73ad0f1a6941a352b00971dcdfda032bdf66f2b7682699ba71896c583b3c

Aliases

arxiv: 1312.4856 · arxiv_version: 1312.4856v1 · doi: 10.48550/arxiv.1312.4856 · pith_short_12: QUWXHLIPDJUU · pith_short_16: QUWXHLIPDJUUDI2S · pith_short_8: QUWXHLIP

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/QUWXHLIPDJUUDI2SWAEXDXG73I \
  | 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: 852d73ad0f1a6941a352b00971dcdfda032bdf66f2b7682699ba71896c583b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1700b721aedd0c798d65596b8ac334fa91f7cff261fb32013c89b67026cc463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-12-17T16:43:20Z",
    "title_canon_sha256": "bb1dd81a0d8f0fefb6e3cf088a2a6189171c876eebd3775b20e6bebaef16f333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4856",
    "kind": "arxiv",
    "version": 1
  }
}