Pith Number

pith:YKTUDYDK

pith:2010:YKTUDYDKAH6W6QK2OQUIERFLIN

not attested not anchored not stored refs pending

A short Proof of the Doob-Meyer Theorem

Bezirgen Veliyev, Mathias Beiglboeck, Walter Schachermayer

arxiv:1012.5292 v1 · 2010-12-23 · 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{YKTUDYDKAH6W6QK2OQUIERFLIN}

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	2026-05-18T04:32:35.428878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a741e06a01fd6f415a74288244ab4340c723b41c75110ca512ff8a59e55f3a

Aliases

arxiv: 1012.5292 · arxiv_version: 1012.5292v1 · doi: 10.48550/arxiv.1012.5292 · pith_short_12: YKTUDYDKAH6W · pith_short_16: YKTUDYDKAH6W6QK2 · pith_short_8: YKTUDYDK

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/YKTUDYDKAH6W6QK2OQUIERFLIN \
  | 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: c2a741e06a01fd6f415a74288244ab4340c723b41c75110ca512ff8a59e55f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13b241a52fbe646613acdf56bc5d076e5778f7d0b5720bb6315c3005456e686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-23T20:39:58Z",
    "title_canon_sha256": "84d82961123f672a57db237247fa8ab78b6156eaf171ffab3499094a646309c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5292",
    "kind": "arxiv",
    "version": 1
  }
}