Pith Number

pith:BM7MLP6R

pith:2013:BM7MLP6RDSIXFXSGN5DZSRZEIV

not attested not anchored not stored refs pending

From homotopy to Ito calculus and Hodge theory

Andrew Neate, Edwin Beggs, Ghaliah Alhamzi

arxiv:1307.3119 v1 · 2013-07-11 · math.QA · 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{BM7MLP6RDSIXFXSGN5DZSRZEIV}

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	2026-05-18T03:18:41.137667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3ec5bfd11c9172de466f47994724456667defc408516d4425eee6b1e65fe76

Aliases

arxiv: 1307.3119 · arxiv_version: 1307.3119v1 · doi: 10.48550/arxiv.1307.3119 · pith_short_12: BM7MLP6RDSIX · pith_short_16: BM7MLP6RDSIXFXSG · pith_short_8: BM7MLP6R

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/BM7MLP6RDSIXFXSGN5DZSRZEIV \
  | 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: 0b3ec5bfd11c9172de466f47994724456667defc408516d4425eee6b1e65fe76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a750ff6571abd90896114b683306ce1c2c9536c9dd6dd4c054e77ad810a2bf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-11T14:11:10Z",
    "title_canon_sha256": "9cf8f46b53412d1c0946eb53a1d661d324b7be8e8b7531a5c69136e4c5aa443d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3119",
    "kind": "arxiv",
    "version": 1
  }
}