Pith Number

pith:SPE3NUP3

pith:2011:SPE3NUP3XAPWWO6ROUSON7HATJ

not attested not anchored not stored refs pending

On random surface area

Dmitry Zaporozhets, Ildar Ibragimov

arxiv:1102.3509 v1 · 2011-02-17 · math.PR · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPE3NUP3XAPWWO6ROUSON7HATJ}

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	2026-05-18T04:28:28.923261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c9b6d1fbb81f6b3bd17524e6fce09a7b3d4f44535a7176cf5050ccb7f20170

Aliases

arxiv: 1102.3509 · arxiv_version: 1102.3509v1 · doi: 10.48550/arxiv.1102.3509 · pith_short_12: SPE3NUP3XAPW · pith_short_16: SPE3NUP3XAPWWO6R · pith_short_8: SPE3NUP3

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/SPE3NUP3XAPWWO6ROUSON7HATJ \
  | 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: 93c9b6d1fbb81f6b3bd17524e6fce09a7b3d4f44535a7176cf5050ccb7f20170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0535b8b0bccfd58eb7abd66d057f105f1c4318f68e900a82a8017b65d366b975",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-17T07:10:17Z",
    "title_canon_sha256": "2863efb962fd178c3b15665675a0ed8ea30e5fd9da600e3bf40e187e54b44046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3509",
    "kind": "arxiv",
    "version": 1
  }
}