Pith Number

pith:YRAB4J3N

pith:2012:YRAB4J3NEMV33C7UU43GYNRM44

not attested not anchored not stored refs pending

On the expected number of different records in a random sample

Marco Ferrante, Nadia Frigo

arxiv:1209.4592 v1 · 2012-09-20 · 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{YRAB4J3NEMV33C7UU43GYNRM44}

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	2026-05-18T03:45:11.236276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4401e276d232bbd8bf4a7366c362ce70c9b74e37899ff2c5ec04d85d93826c8

Aliases

arxiv: 1209.4592 · arxiv_version: 1209.4592v1 · doi: 10.48550/arxiv.1209.4592 · pith_short_12: YRAB4J3NEMV3 · pith_short_16: YRAB4J3NEMV33C7U · pith_short_8: YRAB4J3N

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/YRAB4J3NEMV33C7UU43GYNRM44 \
  | 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: c4401e276d232bbd8bf4a7366c362ce70c9b74e37899ff2c5ec04d85d93826c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74cb6a850a142b7016508b845cef5c0471fcab6c5ab5be49a95b4fe4aed73bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-20T17:46:53Z",
    "title_canon_sha256": "96a1d4de3a370bacf265ac60c0e7930a1d2e30c9fea5f78c4d645049b09c07c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4592",
    "kind": "arxiv",
    "version": 1
  }
}