Pith Number

pith:FL55K4SS

pith:2018:FL55K4SSWCF6UFGFQO6RQQBI46

not attested not anchored not stored refs pending

Quantum ergodicity for large equilateral quantum graphs

Brian Winn, Maxime Ingremeau, Mostafa Sabri

arxiv:1803.07299 v2 · 2018-03-20 · math.SP · 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{FL55K4SSWCF6UFGFQO6RQQBI46}

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	2026-05-17T23:43:18.136913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afbd57252b08bea14c583bd184028e7a58da67205faec86fcae7c59b53dc607

Aliases

arxiv: 1803.07299 · arxiv_version: 1803.07299v2 · doi: 10.48550/arxiv.1803.07299 · pith_short_12: FL55K4SSWCF6 · pith_short_16: FL55K4SSWCF6UFGF · pith_short_8: FL55K4SS

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/FL55K4SSWCF6UFGFQO6RQQBI46 \
  | 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: 2afbd57252b08bea14c583bd184028e7a58da67205faec86fcae7c59b53dc607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a044679256c53e6e2af8a38febdc17b3e269ab62413217f28032ba158ad532",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-03-20T08:46:30Z",
    "title_canon_sha256": "e3bed7a683fbb06f6bbdb657c28d140909565c22268fd84ad32a77ca939ae390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07299",
    "kind": "arxiv",
    "version": 2
  }
}