Pith Number

pith:FEKABZ2P

pith:2016:FEKABZ2PG7OP2I6KGIZJD2BNNN

not attested not anchored not stored refs pending

Descriptive complexity of graph spectra

Anuj Dawar, Octavio Zapata, Simone Severini

arxiv:1603.07030 v5 · 2016-03-22 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEKABZ2PG7OP2I6KGIZJD2BNNN}

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	2026-05-18T01:04:41.373542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

291400e74f37dcfd23ca323291e82d6b6647fb2d797160b37d0555b7d2c57979

Aliases

arxiv: 1603.07030 · arxiv_version: 1603.07030v5 · doi: 10.48550/arxiv.1603.07030 · pith_short_12: FEKABZ2PG7OP · pith_short_16: FEKABZ2PG7OP2I6K · pith_short_8: FEKABZ2P

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/FEKABZ2PG7OP2I6KGIZJD2BNNN \
  | 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: 291400e74f37dcfd23ca323291e82d6b6647fb2d797160b37d0555b7d2c57979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed918eb020d7f768df65ae3a3f662fb3e3ff2ad900eae4bb41dd9a3e0be0dfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-03-22T23:45:34Z",
    "title_canon_sha256": "cbd7aa5dba233834222d2a93351c1d4fa26309523547c4c3c43f9802ef60664a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07030",
    "kind": "arxiv",
    "version": 5
  }
}