Pith Number

pith:BBCF3UFJ

pith:2013:BBCF3UFJIJ7VVHATYLQWIAVD5V

not attested not anchored not stored refs pending

Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold

Yves Colin De Verdi\`ere (IF)

arxiv:1311.5449 v2 · 2013-11-21 · math-ph · math.AP · math.CO · 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{BBCF3UFJIJ7VVHATYLQWIAVD5V}

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	2026-05-18T02:58:56.516404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08445dd0a9427f5a9c13c2e16402a3ed63e9b2be8018c486a0964a3e0bfd5f94

Aliases

arxiv: 1311.5449 · arxiv_version: 1311.5449v2 · doi: 10.48550/arxiv.1311.5449 · pith_short_12: BBCF3UFJIJ7V · pith_short_16: BBCF3UFJIJ7VVHAT · pith_short_8: BBCF3UFJ

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/BBCF3UFJIJ7VVHATYLQWIAVD5V \
  | 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: 08445dd0a9427f5a9c13c2e16402a3ed63e9b2be8018c486a0964a3e0bfd5f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77438154af75f29a64a08e94b9e93eb37dbc75736581d0104ee448e9218460dd",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-21T15:30:09Z",
    "title_canon_sha256": "8888642f6dded8e705a127f848d6e7901cc02972c9877576bf200de49a8ce7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5449",
    "kind": "arxiv",
    "version": 2
  }
}