Pith Number

pith:YTZ5RP4B

pith:2010:YTZ5RP4BSWJVQ4BOU64KNHRBGV

not attested not anchored not stored refs pending

$\zeta$-regularised spectral determinants on metric graphs

Christophe Texier

arxiv:1006.2163 v1 · 2010-06-10 · 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{YTZ5RP4BSWJVQ4BOU64KNHRBGV}

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	2026-05-18T04:35:47.693468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f3d8bf81959358702ea7b8a69e213569ef0ab7d8bb7b6cafbab63561d89fc3

Aliases

arxiv: 1006.2163 · arxiv_version: 1006.2163v1 · doi: 10.48550/arxiv.1006.2163 · pith_short_12: YTZ5RP4BSWJV · pith_short_16: YTZ5RP4BSWJVQ4BO · pith_short_8: YTZ5RP4B

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/YTZ5RP4BSWJVQ4BOU64KNHRBGV \
  | 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: c4f3d8bf81959358702ea7b8a69e213569ef0ab7d8bb7b6cafbab63561d89fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5351b93b806ba788721dce68ed41a0bc824234c8cfe24d8375eb8a7627a2fdd3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-10T22:20:41Z",
    "title_canon_sha256": "96e9f53af2e55359f66bfc1748a1ec9bcc4cb02e0fbcb8908866656cf7fec89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2163",
    "kind": "arxiv",
    "version": 1
  }
}