Pith Number

pith:HXTG2APV

pith:2013:HXTG2APVC5DA76RX5PIIGPIJIJ

not attested not anchored not stored refs pending

Laplacians on periodic discrete graphs

Andrey Badanin, Evgeny Korotyaev, Natalia Saburova

arxiv:1301.6896 v1 · 2013-01-29 · 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{HXTG2APVC5DA76RX5PIIGPIJIJ}

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	2026-05-18T03:35:11.975936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de66d01f517460ffa37ebd0833d0942550c7847af766661e5d08483979d220a

Aliases

arxiv: 1301.6896 · arxiv_version: 1301.6896v1 · doi: 10.48550/arxiv.1301.6896 · pith_short_12: HXTG2APVC5DA · pith_short_16: HXTG2APVC5DA76RX · pith_short_8: HXTG2APV

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/HXTG2APVC5DA76RX5PIIGPIJIJ \
  | 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: 3de66d01f517460ffa37ebd0833d0942550c7847af766661e5d08483979d220a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fa0f9a2b4abaeb9ef8aa6aa3e0a997dad7e5db44db31c15c30ea75e8127d76",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-29T11:35:35Z",
    "title_canon_sha256": "d6a6fa196322e51c0abf2c80bf649c222f38b31a7def112e3486665a8d6cf338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6896",
    "kind": "arxiv",
    "version": 1
  }
}