Pith Number

pith:GRSUSD3P

pith:2015:GRSUSD3PUNKJUOQX23D3UP3I3L

not attested not anchored not stored refs pending

Quantum ergodicity for quantum graphs without back-scattering

Brian Winn, Matthew Brammall

arxiv:1507.06520 v1 · 2015-07-23 · 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{GRSUSD3PUNKJUOQX23D3UP3I3L}

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	2026-05-18T01:14:03.824016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3465490f6fa3549a3a17d6c7ba3f68dacded7a552c0517d61f91b393c335b186

Aliases

arxiv: 1507.06520 · arxiv_version: 1507.06520v1 · doi: 10.48550/arxiv.1507.06520 · pith_short_12: GRSUSD3PUNKJ · pith_short_16: GRSUSD3PUNKJUOQX · pith_short_8: GRSUSD3P

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/GRSUSD3PUNKJUOQX23D3UP3I3L \
  | 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: 3465490f6fa3549a3a17d6c7ba3f68dacded7a552c0517d61f91b393c335b186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b72ff41c9380cc416581b68af1bf53c88e3a56bce1a137c2ebb27f2d97b323",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-23T14:51:21Z",
    "title_canon_sha256": "627b9beb0cd015e010253c4134607e4cad7fb9a809fd47fef4a9ce9565dece1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06520",
    "kind": "arxiv",
    "version": 1
  }
}