Pith Number

pith:WC33ESC6

pith:2006:WC33ESC6RSQUEEBNG2CCHF45YT

not attested not anchored not stored refs pending

Spectral analysis and zeta determinant on the deformed spheres

M. Spreafico, S. Zerbini

arxiv:math-ph/0610046 v1 · 2006-10-19 · math-ph · 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{WC33ESC6RSQUEEBNG2CCHF45YT}

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	2026-07-04T17:02:07.465298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b7b2485e8ca142102d368423979dc4d5ebbaa39efe4eb4fb71e707cab95d84

Aliases

arxiv: math-ph/0610046 · arxiv_version: math-ph/0610046v1 · doi: 10.48550/arxiv.math-ph/0610046 · pith_short_12: WC33ESC6RSQU · pith_short_16: WC33ESC6RSQUEEBN · pith_short_8: WC33ESC6

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/WC33ESC6RSQUEEBNG2CCHF45YT \
  | 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: b0b7b2485e8ca142102d368423979dc4d5ebbaa39efe4eb4fb71e707cab95d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5395df87bab70bc9306aa1ea183d07b64be787c960f0b0f0c295548842f3c222",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-10-19T19:22:05Z",
    "title_canon_sha256": "ee34e76bcc99e332fff435df8ae6cc40589f90fcc8b59192ed2451194b6f0125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0610046",
    "kind": "arxiv",
    "version": 1
  }
}