Pith Number

pith:3FV2SXYR

pith:2019:3FV2SXYRAURZ53JBEK2QSFUBV7

not attested not anchored not stored refs pending

On a version of the spectral excess theorem

M. A. Fiol, Safet Penji\'c

arxiv:1906.01307 v1 · 2019-06-04 · 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{3FV2SXYRAURZ53JBEK2QSFUBV7}

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	2026-05-17T23:44:17.061547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96ba95f1105239eed2122b5091681afcf9238c17ebfacd1a4073ab65f7d71e2

Aliases

arxiv: 1906.01307 · arxiv_version: 1906.01307v1 · doi: 10.48550/arxiv.1906.01307 · pith_short_12: 3FV2SXYRAURZ · pith_short_16: 3FV2SXYRAURZ53JB · pith_short_8: 3FV2SXYR

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/3FV2SXYRAURZ53JBEK2QSFUBV7 \
  | 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: d96ba95f1105239eed2122b5091681afcf9238c17ebfacd1a4073ab65f7d71e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1895cb4635731730143cdebc0d84afa95bd9a566e37eb4bb8fbe4f8873c29c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-04T10:00:12Z",
    "title_canon_sha256": "56a4935a66ae34518b034f24f8b103d4d398de819615da9fffb34f8e0a470ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01307",
    "kind": "arxiv",
    "version": 1
  }
}