Pith Number

pith:7NFWS7D6

pith:2017:7NFWS7D6TRCBRTKZERCMBBYCUD

not attested not anchored not stored refs pending

A weak version of path-dependent functional It\^o calculus

Alberto Ohashi, Alexandre B. Simas, Dorival Le\~ao

arxiv:1707.04972 v2 · 2017-07-17 · 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{7NFWS7D6TRCBRTKZERCMBBYCUD}

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	2026-05-18T00:29:13.147804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4b697c7e9c4418cd592444c08702a0f18f4fdc4865269a3eccd1fe28293e2d

Aliases

arxiv: 1707.04972 · arxiv_version: 1707.04972v2 · doi: 10.48550/arxiv.1707.04972 · pith_short_12: 7NFWS7D6TRCB · pith_short_16: 7NFWS7D6TRCBRTKZ · pith_short_8: 7NFWS7D6

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/7NFWS7D6TRCBRTKZERCMBBYCUD \
  | 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: fb4b697c7e9c4418cd592444c08702a0f18f4fdc4865269a3eccd1fe28293e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6f81293083b931bda9b717786bc5f210ffdffadd04de6d56dfdf28f1ef11ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-17T00:58:49Z",
    "title_canon_sha256": "009fbcd18268b973c81b82a9a62041d0ecea24442caefd26ac46957db4915696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04972",
    "kind": "arxiv",
    "version": 2
  }
}