Pith Number

pith:QXUN7Y2C

pith:2013:QXUN7Y2CI2ZGCZRZ3R75EEATTT

not attested not anchored not stored refs pending

Estimates of bands for Laplacians on periodic equilateral metric graphs

Evgeny Korotyaev, Natalia Saburova

arxiv:1312.6510 v2 · 2013-12-23 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXUN7Y2CI2ZGCZRZ3R75EEATTT}

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	2026-05-18T03:01:45.779360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e8dfe34246b2616639dc7fd210139cf8bf97119819ec20ff6ee54068378aea

Aliases

arxiv: 1312.6510 · arxiv_version: 1312.6510v2 · doi: 10.48550/arxiv.1312.6510 · pith_short_12: QXUN7Y2CI2ZG · pith_short_16: QXUN7Y2CI2ZGCZRZ · pith_short_8: QXUN7Y2C

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/QXUN7Y2CI2ZGCZRZ3R75EEATTT \
  | 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: 85e8dfe34246b2616639dc7fd210139cf8bf97119819ec20ff6ee54068378aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5967fd50c827577964f69243d35ad248cce51e87622fb2f9751c42a6f022ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-23T10:19:58Z",
    "title_canon_sha256": "5cc3424fef889067daf12880d5f47b5a1f0300763d54687384d2893551bc9aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6510",
    "kind": "arxiv",
    "version": 2
  }
}