Pith Number

pith:MNZUFX37

pith:2014:MNZUFX373XH7VBEECWE2OIYPPP

not attested not anchored not stored refs pending

The Signature of a Rough Path: Uniqueness

Danyu Yang, Horatio Boedihardjo, Terry Lyons, Xi Geng

arxiv:1406.7871 v3 · 2014-06-30 · 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{MNZUFX373XH7VBEECWE2OIYPPP}

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	2026-05-18T01:30:08.383777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637342df7fddcffa84841589a7230f7bed144fc50041666b5dcf67898b27eee4

Aliases

arxiv: 1406.7871 · arxiv_version: 1406.7871v3 · doi: 10.48550/arxiv.1406.7871 · pith_short_12: MNZUFX373XH7 · pith_short_16: MNZUFX373XH7VBEE · pith_short_8: MNZUFX37

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/MNZUFX373XH7VBEECWE2OIYPPP \
  | 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: 637342df7fddcffa84841589a7230f7bed144fc50041666b5dcf67898b27eee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdb251fc0ae864c25b6c71517c0f377c71af1a80615a2c3934b8506a8514ad8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-30T19:42:56Z",
    "title_canon_sha256": "f03b89d941c51334ff5d5c47e2403c61607bf3c60a8972541d0ef7939a2f069d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7871",
    "kind": "arxiv",
    "version": 3
  }
}