Pith Number

pith:E4CB4QVV

pith:2015:E4CB4QVVXVAPVCFUSG7H2SDBEV

not attested not anchored not stored refs pending

Extrema of graph eigenvalues

Vladimir Nikiforov

arxiv:1502.00359 v1 · 2015-02-02 · 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{E4CB4QVVXVAPVCFUSG7H2SDBEV}

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	2026-05-18T02:28:06.183102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27041e42b5bd40fa88b491be7d4861254afa6036316af2135a72d28e59cfd375

Aliases

arxiv: 1502.00359 · arxiv_version: 1502.00359v1 · doi: 10.48550/arxiv.1502.00359 · pith_short_12: E4CB4QVVXVAP · pith_short_16: E4CB4QVVXVAPVCFU · pith_short_8: E4CB4QVV

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/E4CB4QVVXVAPVCFUSG7H2SDBEV \
  | 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: 27041e42b5bd40fa88b491be7d4861254afa6036316af2135a72d28e59cfd375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17a38dae421e222dd328654e36cf859da30851db4f5e3a57c27cbae47a098d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-02T04:51:58Z",
    "title_canon_sha256": "ad69e0e8f9cc5ebf87825dd8793e4b3a78fe7e9899c203b810f97fe0df151223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00359",
    "kind": "arxiv",
    "version": 1
  }
}