Pith Number

pith:K7DTEJI4

pith:2013:K7DTEJI4VAZ3AHV64XASHC7THW

not attested not anchored not stored refs pending

The degree-diameter problem for sparse graph classes

David R. Wood, Guillermo Pineda-Villavicencio

arxiv:1307.4456 v3 · 2013-07-17 · 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{K7DTEJI4VAZ3AHV64XASHC7THW}

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	2026-05-18T00:46:21.413049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c732251ca833b01ebee5c1238bf33da20fe9e8df83107005ff95d4ec997037

Aliases

arxiv: 1307.4456 · arxiv_version: 1307.4456v3 · doi: 10.48550/arxiv.1307.4456 · pith_short_12: K7DTEJI4VAZ3 · pith_short_16: K7DTEJI4VAZ3AHV6 · pith_short_8: K7DTEJI4

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/K7DTEJI4VAZ3AHV64XASHC7THW \
  | 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: 57c732251ca833b01ebee5c1238bf33da20fe9e8df83107005ff95d4ec997037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fc0e03ba6d4a55a9214206c4311f39fa9139c535340c33c402d579c3de2834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-17T00:14:26Z",
    "title_canon_sha256": "578184486b0b538d5f1670d388a82c28ae58947843bb6d8b6030216b0df40cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4456",
    "kind": "arxiv",
    "version": 3
  }
}