Pith Number

pith:EXVRUQA6

pith:2013:EXVRUQA6WG4LGUQL3B3AS455WS

not attested not anchored not stored refs pending

Edge-signed graphs with smallest eigenvalue greater than -2

Akihiro Munemasa, Gary Greaves, Jack Koolen, Tetsuji Taniguchi, Yoshio Sano

arxiv:1309.5178 v2 · 2013-09-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXVRUQA6WG4LGUQL3B3AS455WS}

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	2026-05-18T02:29:55.212460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25eb1a401eb1b8b3520bd8760973bdb4b24f4b36a0e5571f25111ff25d7dc4f1

Aliases

arxiv: 1309.5178 · arxiv_version: 1309.5178v2 · doi: 10.48550/arxiv.1309.5178 · pith_short_12: EXVRUQA6WG4L · pith_short_16: EXVRUQA6WG4LGUQL · pith_short_8: EXVRUQA6

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/EXVRUQA6WG4LGUQL3B3AS455WS \
  | 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: 25eb1a401eb1b8b3520bd8760973bdb4b24f4b36a0e5571f25111ff25d7dc4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1433089a61f23b12739f7d9e23215aaac7cfa5ce99a13e21014bd59c2e6e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-20T05:46:44Z",
    "title_canon_sha256": "61c228808e674c77e3f68efad0082d64d01f0058b2e2f29f18c3198dc31e4e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5178",
    "kind": "arxiv",
    "version": 2
  }
}