Pith Number

pith:25OT23D4

pith:2016:25OT23D4A44IFXEZVUAN7OBVLJ

not attested not anchored not stored refs pending

Twin peaks

Krzysztof Burdzy, Soumik Pal

arxiv:1606.08025 v2 · 2016-06-26 · math.PR · 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{25OT23D4A44IFXEZVUAN7OBVLJ}

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	2026-05-18T00:50:09.620388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75d3d6c7c073882dc99ad00dfb8355a6c22749cfb6d77291e51b557a2ab5470

Aliases

arxiv: 1606.08025 · arxiv_version: 1606.08025v2 · doi: 10.48550/arxiv.1606.08025 · pith_short_12: 25OT23D4A44I · pith_short_16: 25OT23D4A44IFXEZ · pith_short_8: 25OT23D4

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/25OT23D4A44IFXEZVUAN7OBVLJ \
  | 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: d75d3d6c7c073882dc99ad00dfb8355a6c22749cfb6d77291e51b557a2ab5470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1642a1d43bfa348a9b04f6858182832262c2ffeeef45c6d7b2d3ade2953b232d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-26T11:50:56Z",
    "title_canon_sha256": "b13321513a57c63476c7ecb9f7f1ead70b998d6c994b327de80b676bc82cada5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08025",
    "kind": "arxiv",
    "version": 2
  }
}