Pith Number

pith:NGXWSHG5

pith:2007:NGXWSHG566MZEAZLZTVKCTOCYW

not attested not anchored not stored refs pending

Good rough path sequences and applications to anticipating stochastic calculus

Laure Coutin, Nicolas Victoir, Peter Friz

arxiv:0707.4546 v1 · 2007-07-31 · 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{NGXWSHG566MZEAZLZTVKCTOCYW}

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	2026-05-18T04:09:15.310962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69af691cddf79992032bcceaa14dc2c59c25d6d46facba9f03523726fc8e6b63

Aliases

arxiv: 0707.4546 · arxiv_version: 0707.4546v1 · doi: 10.48550/arxiv.0707.4546 · pith_short_12: NGXWSHG566MZ · pith_short_16: NGXWSHG566MZEAZL · pith_short_8: NGXWSHG5

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/NGXWSHG566MZEAZLZTVKCTOCYW \
  | 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: 69af691cddf79992032bcceaa14dc2c59c25d6d46facba9f03523726fc8e6b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca234e046f36b657a79f88b13dedbe005e7cc76000e2b3eb1b612ef3fd19109a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-31T07:09:39Z",
    "title_canon_sha256": "dcca308451a975c4e3c82a263f3e1d789ce9db5c89c186f0c131f24f762ad9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4546",
    "kind": "arxiv",
    "version": 1
  }
}