Pith Number

pith:F5PFFIAZ

pith:2013:F5PFFIAZLYFQYMXCJ77IPCO46K

not attested not anchored not stored refs pending

Rogers functions and fluctuation theory

Mateusz Kwa\'snicki

arxiv:1312.1866 v1 · 2013-12-06 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5PFFIAZLYFQYMXCJ77IPCO46K}

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	2026-05-18T03:05:19.572354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5e52a0195e0b0c32e24ffe8789dcf282771bd37f69117110321a8fea3c674a

Aliases

arxiv: 1312.1866 · arxiv_version: 1312.1866v1 · doi: 10.48550/arxiv.1312.1866 · pith_short_12: F5PFFIAZLYFQ · pith_short_16: F5PFFIAZLYFQYMXC · pith_short_8: F5PFFIAZ

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/F5PFFIAZLYFQYMXCJ77IPCO46K \
  | 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: 2f5e52a0195e0b0c32e24ffe8789dcf282771bd37f69117110321a8fea3c674a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f3b35ac9f63509407b3c4b6bafa29bc1b7b190b799b9d0a10aa0b0952a5aac",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-12-06T13:54:00Z",
    "title_canon_sha256": "3682e6f30c355c19a4eb5d19193ec8b0bdbb0ea882c4ccaed4cc56ed1d4bb55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1866",
    "kind": "arxiv",
    "version": 1
  }
}