Pith Number

pith:T72SZBTB

pith:2022:T72SZBTBPHZCCFWIV3BSYPRS5Y

not attested not anchored not stored refs pending

Mean arc theorem for exploring domains with randomly distributed arbitrary closed trajectories

Alvaro Cassinelli, Emmanuel Fort, Matthieu Labousse, Samuel Hidalgo-Caballero

arxiv:2201.07142 v1 · 2022-01-18 · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T72SZBTBPHZCCFWIV3BSYPRS5Y}

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	2026-07-05T03:49:35.189037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ff52c866179f22116c8aec32c3e32ee32697c1b08b9741f8ece2a9ad52516b7

Aliases

arxiv: 2201.07142 · arxiv_version: 2201.07142v1 · doi: 10.48550/arxiv.2201.07142 · pith_short_12: T72SZBTBPHZC · pith_short_16: T72SZBTBPHZCCFWI · pith_short_8: T72SZBTB

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/T72SZBTBPHZCCFWIV3BSYPRS5Y \
  | 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: 9ff52c866179f22116c8aec32c3e32ee32697c1b08b9741f8ece2a9ad52516b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902db7aa94453fdca4e5a919abf9888db7076cf666adb61497de172788e61957",
    "cross_cats_sorted": [
      "math.MP",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-01-18T17:35:53Z",
    "title_canon_sha256": "99b450aa64e19927aa73e3342f0a5e8f20f34b3df614eb0658b913992aa07833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.07142",
    "kind": "arxiv",
    "version": 1
  }
}