Pith Number

pith:AM3SAUC2

pith:2014:AM3SAUC2KRSXUVSYWBO6RXT5LB

not attested not anchored not stored refs pending

Isospectrality for graph Laplacians under the change of coupling at graph vertices

Alexander V. Kiselev, Irina I. Karpenko, Yulia Ershova

arxiv:1405.2997 v2 · 2014-05-12 · 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{AM3SAUC2KRSXUVSYWBO6RXT5LB}

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	2026-05-18T02:38:36.935297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033720505a54657a5658b05de8de7d586f6e4ca00cd9cf42d88d7d804864be58

Aliases

arxiv: 1405.2997 · arxiv_version: 1405.2997v2 · doi: 10.48550/arxiv.1405.2997 · pith_short_12: AM3SAUC2KRSX · pith_short_16: AM3SAUC2KRSXUVSY · pith_short_8: AM3SAUC2

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/AM3SAUC2KRSXUVSYWBO6RXT5LB \
  | 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: 033720505a54657a5658b05de8de7d586f6e4ca00cd9cf42d88d7d804864be58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc26de289cdefc6aa5fb8af7cc5f2413044a7c1975d4870e83165ce7b1872b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-05-12T23:35:38Z",
    "title_canon_sha256": "d9fecf2708d5b49dd17495e17ce48ef021e7da174f18b48995ea7507d84eb5ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2997",
    "kind": "arxiv",
    "version": 2
  }
}