Pith Number

pith:IBFWIOC2

pith:2014:IBFWIOC25VJCG46QEZMD3CM23L

not attested not anchored not stored refs pending

Entropy of eigenfunctions on quantum graphs

Lionel Kameni, Roman Schubert

arxiv:1405.5871 v1 · 2014-05-22 · 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{IBFWIOC25VJCG46QEZMD3CM23L}

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	2026-05-18T02:51:15.393372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

404b64385aed522373d026583d899adac86c88c18f5e71f0eb8e37c90140c5e1

Aliases

arxiv: 1405.5871 · arxiv_version: 1405.5871v1 · doi: 10.48550/arxiv.1405.5871 · pith_short_12: IBFWIOC25VJC · pith_short_16: IBFWIOC25VJCG46Q · pith_short_8: IBFWIOC2

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/IBFWIOC25VJCG46QEZMD3CM23L \
  | 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: 404b64385aed522373d026583d899adac86c88c18f5e71f0eb8e37c90140c5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33431134232eeac85df1103ec3d18c61c6a26f72e8389f735081b2ef532b5070",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-22T19:52:35Z",
    "title_canon_sha256": "833ea8d0df3299a396818bc8af497c13d35b9a0c34e77cd0fcd9bc1d550b06f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5871",
    "kind": "arxiv",
    "version": 1
  }
}