Pith Number

pith:B3Q2DYKB

pith:2015:B3Q2DYKBGIKALBZ25CVIFQAYWO

not attested not anchored not stored refs pending

Bounds on Geometric Eigenvalues of Graphs

Chris Williamson, Mary Radcliffe

arxiv:1501.03436 v3 · 2015-01-14 · 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{B3Q2DYKBGIKALBZ25CVIFQAYWO}

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	2026-05-18T02:26:02.362356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee1a1e141321405873ae8aa82c018b38d647fce1ab4cafffb4cf7bfbf9afe35

Aliases

arxiv: 1501.03436 · arxiv_version: 1501.03436v3 · doi: 10.48550/arxiv.1501.03436 · pith_short_12: B3Q2DYKBGIKA · pith_short_16: B3Q2DYKBGIKALBZ2 · pith_short_8: B3Q2DYKB

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/B3Q2DYKBGIKALBZ25CVIFQAYWO \
  | 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: 0ee1a1e141321405873ae8aa82c018b38d647fce1ab4cafffb4cf7bfbf9afe35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba61c6040c361a0405e2d131fae0865d9ef0ab8d60e7d75d266d12fcab7c1845",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-14T18:29:12Z",
    "title_canon_sha256": "684c6fd4ae7d7fee9c1a129c619873a0f5718c8444d7254d1e82c3403a540db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03436",
    "kind": "arxiv",
    "version": 3
  }
}