Pith Number

pith:LNU56J53

pith:2010:LNU56J53PRHUD6VXZ42BPOU77G

not attested not anchored not stored refs pending

Martingale-type processes indexed by the real line

Andreas Basse-O'Connor, Jan Pedersen, Svend-Erik Graversen

arxiv:1005.0150 v1 · 2010-05-02 · 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{LNU56J53PRHUD6VXZ42BPOU77G}

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	2026-05-18T02:24:09.408009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b69df27bb7c4f41fab7cf3417ba9ff98f267768fb0a7b3dce5ca468dfaac234

Aliases

arxiv: 1005.0150 · arxiv_version: 1005.0150v1 · doi: 10.48550/arxiv.1005.0150 · pith_short_12: LNU56J53PRHU · pith_short_16: LNU56J53PRHUD6VX · pith_short_8: LNU56J53

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/LNU56J53PRHUD6VXZ42BPOU77G \
  | 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: 5b69df27bb7c4f41fab7cf3417ba9ff98f267768fb0a7b3dce5ca468dfaac234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b9af494c1938425f16d62cb1c70fd0ff1e8e02cf16fb7816c3497604acf8cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-02T17:33:09Z",
    "title_canon_sha256": "98b909adf061bac879f6df318efaee32eaaf5717bc096e72f0d866cb239f9a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0150",
    "kind": "arxiv",
    "version": 1
  }
}