Pith Number

pith:ZXUC6C2V

pith:2015:ZXUC6C2VXNY6PVGS6TDLMN2QPJ

not attested not anchored not stored refs pending

Williams Coherence and Beyond

Paolo Vicig, Renato Pelessoni

arxiv:1503.02092 v1 · 2015-03-05 · 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{ZXUC6C2VXNY6PVGS6TDLMN2QPJ}

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	2026-05-18T02:25:25.877582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b

Aliases

arxiv: 1503.02092 · arxiv_version: 1503.02092v1 · doi: 10.48550/arxiv.1503.02092 · pith_short_12: ZXUC6C2VXNY6 · pith_short_16: ZXUC6C2VXNY6PVGS · pith_short_8: ZXUC6C2V

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/ZXUC6C2VXNY6PVGS6TDLMN2QPJ \
  | 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: cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d268d63d838f1ba110ac02514d7e286fa07a28648e387c79fd634e0991371d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-05T16:17:43Z",
    "title_canon_sha256": "282492fd4f6f1ba13a701064c213a1ac90e4c3966fa82009038135a090fa00a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02092",
    "kind": "arxiv",
    "version": 1
  }
}