Pith Number

pith:6IDUO7FZ

pith:2005:6IDUO7FZM5EPUOPOF7OMBRZDIP

not attested not anchored not stored refs pending

The spectral form factor for quantum graphs

Jens Bolte, Jonathan Harrison

arxiv:nlin/0511011 v1 · 2005-11-05 · nlin.CD · 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{6IDUO7FZM5EPUOPOF7OMBRZDIP}

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	2026-05-18T04:34:09.414324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f207477cb96748fa39ee2fdcc0c72343c50014946b5d4fc66d216dca46862341

Aliases

arxiv: nlin/0511011 · arxiv_version: nlin/0511011v1 · doi: 10.48550/arxiv.nlin/0511011 · pith_short_12: 6IDUO7FZM5EP · pith_short_16: 6IDUO7FZM5EPUOPO · pith_short_8: 6IDUO7FZ

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/6IDUO7FZM5EPUOPOF7OMBRZDIP \
  | 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: f207477cb96748fa39ee2fdcc0c72343c50014946b5d4fc66d216dca46862341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e73d30ed77e0682e86ac53c1f5e647fa648608c1765964ab359795829c85cf88",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2005-11-05T01:07:56Z",
    "title_canon_sha256": "43abaa79d33fb0cd29d08bff8b562540cb87b3ae217462f4268064804248b935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0511011",
    "kind": "arxiv",
    "version": 1
  }
}