Pith Number

pith:4C3TAACQ

pith:2018:4C3TAACQH5GXBOL4IIHJ36GRFA

not attested not anchored not stored refs pending

On pathwise quadratic variation for cadlag functions

Henry Chiu, Rama Cont

arxiv:1806.07290 v3 · 2018-06-19 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C3TAACQH5GXBOL4IIHJ36GRFA}

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	2026-05-17T23:47:03.151914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b73000503f4d70b97c420e9df8d12831396228c1c6627a4bb3f2a72028670b

Aliases

arxiv: 1806.07290 · arxiv_version: 1806.07290v3 · doi: 10.48550/arxiv.1806.07290 · pith_short_12: 4C3TAACQH5GX · pith_short_16: 4C3TAACQH5GXBOL4 · pith_short_8: 4C3TAACQ

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/4C3TAACQH5GXBOL4IIHJ36GRFA \
  | 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: e0b73000503f4d70b97c420e9df8d12831396228c1c6627a4bb3f2a72028670b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1827c689bdb3eb1ec310aaa442ccb5ddaf43c089abae7d8dc365147514f0864",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-19T14:44:38Z",
    "title_canon_sha256": "cecfdf0ae0f20b91d4e2bf1805b0486b2cc474d872422b2fad28dc621e66e25e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07290",
    "kind": "arxiv",
    "version": 3
  }
}