Pith Number

pith:7ITW5BF5

pith:2009:7ITW5BF5RQ4FLCA4PXSUTNHRLV

not attested not anchored not stored refs pending

Graphs having many holes but with small competition numbers

Jung Yeun Lee, Seog-Jin Kim, Suh-Ryung Kim, Yoshio Sano

arxiv:0909.5311 v3 · 2009-09-29 · 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{7ITW5BF5RQ4FLCA4PXSUTNHRLV}

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	2026-05-18T04:22:09.342847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa276e84bd8c3855881c7de549b4f15d644e5301a35c39ccb933e1cbbc540e28

Aliases

arxiv: 0909.5311 · arxiv_version: 0909.5311v3 · doi: 10.48550/arxiv.0909.5311 · pith_short_12: 7ITW5BF5RQ4F · pith_short_16: 7ITW5BF5RQ4FLCA4 · pith_short_8: 7ITW5BF5

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/7ITW5BF5RQ4FLCA4PXSUTNHRLV \
  | 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: fa276e84bd8c3855881c7de549b4f15d644e5301a35c39ccb933e1cbbc540e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2a514e361889385a28156cd880f31f972047713b5ee379cf2b90015718d73f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-29T11:31:53Z",
    "title_canon_sha256": "5b1be09a55b34b48e29d31978628278e6129ce6ca093b62cd7e8503bd3a8962f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5311",
    "kind": "arxiv",
    "version": 3
  }
}