Pith Number

pith:VS3ALAA5

pith:2014:VS3ALAA5YXNDNWIKEFV54OXWB4

not attested not anchored not stored refs pending

Linear programming bounds for regular graphs

Hiroshi Nozaki

arxiv:1407.4562 v2 · 2014-07-17 · 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{VS3ALAA5YXNDNWIKEFV54OXWB4}

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	2026-05-18T01:36:51.654740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb605801dc5da36d90a216bde3af60f06c859596fe38d5a7271283a8dbd09a8

Aliases

arxiv: 1407.4562 · arxiv_version: 1407.4562v2 · doi: 10.48550/arxiv.1407.4562 · pith_short_12: VS3ALAA5YXND · pith_short_16: VS3ALAA5YXNDNWIK · pith_short_8: VS3ALAA5

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/VS3ALAA5YXNDNWIKEFV54OXWB4 \
  | 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: acb605801dc5da36d90a216bde3af60f06c859596fe38d5a7271283a8dbd09a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57057e7e77196ded34069a1574d03d612dbae2677f6789522717107fb0b3184f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-17T05:29:37Z",
    "title_canon_sha256": "e10605170208f7b6dbde118bee96188e47e2ed58fe3c545c157d4fdc153fa745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4562",
    "kind": "arxiv",
    "version": 2
  }
}