Pith Number

pith:MY7GOSH2

pith:2010:MY7GOSH2ZGNO5B4EWDWQM7O7A7

not attested not anchored not stored refs pending

Zeta Determinant for Laplace Operators on Riemann Caps

Antonino Flachi, Guglielmo Fucci

arxiv:1004.0063 v1 · 2010-04-01 · math-ph · gr-qc · hep-th · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MY7GOSH2ZGNO5B4EWDWQM7O7A7}

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	2026-05-18T04:27:28.188745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

663e6748fac99aee8784b0ed067ddf07d711be5334f5382422e9dd5ec5e3ec4c

Aliases

arxiv: 1004.0063 · arxiv_version: 1004.0063v1 · doi: 10.48550/arxiv.1004.0063 · pith_short_12: MY7GOSH2ZGNO · pith_short_16: MY7GOSH2ZGNO5B4E · pith_short_8: MY7GOSH2

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/MY7GOSH2ZGNO5B4EWDWQM7O7A7 \
  | 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: 663e6748fac99aee8784b0ed067ddf07d711be5334f5382422e9dd5ec5e3ec4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43cc90c65909d7c4bfc9cffe62476bf91218f71b36bb67856df7f4c81ccc7e6f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-01T06:52:38Z",
    "title_canon_sha256": "54863dbc73a0ab3613137b2319ef3a70208d84b028097803837ed0968e6d1596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0063",
    "kind": "arxiv",
    "version": 1
  }
}