Pith Number

pith:IFI2RMBH

pith:2011:IFI2RMBHTCL4X646FI4WGKPLNR

not attested not anchored not stored refs pending

Minimal elements of stopping time $\sigma$-algebras

Tom Fischer

arxiv:1112.2537 v3 · 2011-12-12 · 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{IFI2RMBHTCL4X646FI4WGKPLNR}

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	2026-05-18T02:28:29.596950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4151a8b0279897cbfb9e2a396329eb6c60fc913c0527b25c5b5ac93d08eeaacd

Aliases

arxiv: 1112.2537 · arxiv_version: 1112.2537v3 · doi: 10.48550/arxiv.1112.2537 · pith_short_12: IFI2RMBHTCL4 · pith_short_16: IFI2RMBHTCL4X646 · pith_short_8: IFI2RMBH

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/IFI2RMBHTCL4X646FI4WGKPLNR \
  | 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: 4151a8b0279897cbfb9e2a396329eb6c60fc913c0527b25c5b5ac93d08eeaacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "298c194e8b4f1971988294b77a1f228b6b3fd5e9a407ea822c00580d0965ad35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-12T12:57:30Z",
    "title_canon_sha256": "8a0eef61fc38673a091db84c266a6f3930bd9a617115ca5426b1890c10587367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2537",
    "kind": "arxiv",
    "version": 3
  }
}