Pith Number

pith:YAUXZYTX

pith:2016:YAUXZYTX7A4ZFE7P7FMHXWTQL2

not attested not anchored not stored refs pending

The b-continuity of graphs with large girth

Ana Silva, Cl\'audia Linhares-Sales

arxiv:1602.01298 v2 · 2016-02-03 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAUXZYTX7A4ZFE7P7FMHXWTQL2}

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	2026-05-18T01:12:25.044838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0297ce277f8399293eff9587bda705e8f89b2f6d19665db493f6cb37449f54c

Aliases

arxiv: 1602.01298 · arxiv_version: 1602.01298v2 · doi: 10.48550/arxiv.1602.01298 · pith_short_12: YAUXZYTX7A4Z · pith_short_16: YAUXZYTX7A4ZFE7P · pith_short_8: YAUXZYTX

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/YAUXZYTX7A4ZFE7P7FMHXWTQL2 \
  | 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: c0297ce277f8399293eff9587bda705e8f89b2f6d19665db493f6cb37449f54c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2eef3981bf782b2204cd2a014dd3d050847c1902f59ce0ddd852a400777bcc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-03T13:48:58Z",
    "title_canon_sha256": "c89ec31d751355885dd38f63432ac26e73bf93c13218e2e9c226b4c253961f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01298",
    "kind": "arxiv",
    "version": 2
  }
}