Pith Number

pith:FCSS2LBX

pith:2013:FCSS2LBXXWEOC73URUUX55IV43

not attested not anchored not stored refs pending

The Dupire derivatives and Fr\'echet derivatives on continuous pathes

Shaolin Ji, Shuzhen Yang

arxiv:1301.5691 v1 · 2013-01-24 · 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{FCSS2LBXXWEOC73URUUX55IV43}

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	2026-05-18T03:35:37.696931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a52d2c37bd88e17f748d297ef515e6f25cc4c8d16cd5b3474cfb4282b706ae

Aliases

arxiv: 1301.5691 · arxiv_version: 1301.5691v1 · doi: 10.48550/arxiv.1301.5691 · pith_short_12: FCSS2LBXXWEO · pith_short_16: FCSS2LBXXWEOC73U · pith_short_8: FCSS2LBX

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/FCSS2LBXXWEOC73URUUX55IV43 \
  | 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: 28a52d2c37bd88e17f748d297ef515e6f25cc4c8d16cd5b3474cfb4282b706ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35be481d1271b2d41c86efff2a9741d6ec20c4c82c232372c90683cf7c305417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-24T03:01:37Z",
    "title_canon_sha256": "0b60b57263520768add035dbb329a13ada24686d9215ab29480d232fb84c16e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5691",
    "kind": "arxiv",
    "version": 1
  }
}