Pith Number

pith:PHY6H4CZ

pith:2010:PHY6H4CZ6YX7RI3PUQOQAHRKMP

not attested not anchored not stored refs pending

Geometric invariance of mass-like asymptotic invariants

Beno\^it Michel

arxiv:1012.3775 v2 · 2010-12-16 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHY6H4CZ6YX7RI3PUQOQAHRKMP}

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	2026-05-18T02:04:23.395615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f1e3f059f62ff8a36fa41d001e2a63cb7b64047341780c96620b74b038e29e

Aliases

arxiv: 1012.3775 · arxiv_version: 1012.3775v2 · doi: 10.48550/arxiv.1012.3775 · pith_short_12: PHY6H4CZ6YX7 · pith_short_16: PHY6H4CZ6YX7RI3P · pith_short_8: PHY6H4CZ

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/PHY6H4CZ6YX7RI3PUQOQAHRKMP \
  | 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: 79f1e3f059f62ff8a36fa41d001e2a63cb7b64047341780c96620b74b038e29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1eb8c3f2c3f1d12d7111bffd39e407877b79da19a56e228f2a9aec290b22fc1",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-16T22:37:53Z",
    "title_canon_sha256": "3e57703bf094bcd8582c0a3bf425cc4d15a00ad8e0811bf6450dc627d1774a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3775",
    "kind": "arxiv",
    "version": 2
  }
}