Pith Number

pith:NO3WFYSA

pith:2016:NO3WFYSAAE43M5VLOAJJVQTFSK

not attested not anchored not stored refs pending

Pathwise integration with respect to paths of finite quadratic variation

Anna Ananova, Rama Cont

arxiv:1603.03305 v3 · 2016-03-10 · math.PR · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NO3WFYSAAE43M5VLOAJJVQTFSK}

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	2026-05-18T00:20:17.894065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb762e2400139b676ab70129ac26592a12c551941a1ecf21d9cfc5d947c2647

Aliases

arxiv: 1603.03305 · arxiv_version: 1603.03305v3 · doi: 10.48550/arxiv.1603.03305 · pith_short_12: NO3WFYSAAE43 · pith_short_16: NO3WFYSAAE43M5VL · pith_short_8: NO3WFYSA

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/NO3WFYSAAE43M5VLOAJJVQTFSK \
  | 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: 6bb762e2400139b676ab70129ac26592a12c551941a1ecf21d9cfc5d947c2647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d446c29bbf307e99d12db60c0ea5f179b039ae94b57ec6fb9226b0e1d9322ee",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-10T15:47:03Z",
    "title_canon_sha256": "547596e1622f808a11f3880c227118f813069f95bbdaf99ae649f12cc78adc61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03305",
    "kind": "arxiv",
    "version": 3
  }
}