Pith Number

pith:ICVB2MIM

pith:2012:ICVB2MIMRB66CVBVOUFG7VNTGO

not attested not anchored not stored refs pending

Doob--Meyer for rough paths

Atul Shekhar, Peter Friz

arxiv:1205.2505 v1 · 2012-05-11 · 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{ICVB2MIMRB66CVBVOUFG7VNTGO}

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	2026-05-18T03:55:48.185715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40aa1d310c887de15435750a6fd5b333b11890150667e4e5735e17d250c6ce9e

Aliases

arxiv: 1205.2505 · arxiv_version: 1205.2505v1 · doi: 10.48550/arxiv.1205.2505 · pith_short_12: ICVB2MIMRB66 · pith_short_16: ICVB2MIMRB66CVBV · pith_short_8: ICVB2MIM

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/ICVB2MIMRB66CVBVOUFG7VNTGO \
  | 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: 40aa1d310c887de15435750a6fd5b333b11890150667e4e5735e17d250c6ce9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d18c067099ade548f09bdb383e882edd72723d1b6a4775edfd3cc47aadbdf3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-11T12:52:49Z",
    "title_canon_sha256": "0b87e070a666b2e428b13b16c6a42a31bfd714206831476585fb50971c274d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2505",
    "kind": "arxiv",
    "version": 1
  }
}