Pith Number

pith:TAHG6TVJ

pith:2011:TAHG6TVJNLDH7C3NL6N77QIDN5

not attested not anchored not stored refs pending

Black-and-white threshold graphs

Fernando Villaamil, Ling-Ju Hung, Ton Kloks

arxiv:1104.3917 v1 · 2011-04-20 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAHG6TVJNLDH7C3NL6N77QIDN5}

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	2026-05-18T02:22:02.009406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980e6f4ea96ac67f8b6d5f9bffc1036f6d17c9892ec799906445bb57198fb333

Aliases

arxiv: 1104.3917 · arxiv_version: 1104.3917v1 · doi: 10.48550/arxiv.1104.3917 · pith_short_12: TAHG6TVJNLDH · pith_short_16: TAHG6TVJNLDH7C3N · pith_short_8: TAHG6TVJ

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/TAHG6TVJNLDH7C3NL6N77QIDN5 \
  | 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: 980e6f4ea96ac67f8b6d5f9bffc1036f6d17c9892ec799906445bb57198fb333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479fed981d11f55d07d7d3213756b665f3037c7424c18d2506bb7117fbe1f67e",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-20T01:56:49Z",
    "title_canon_sha256": "3d532458cad050b2f17cb9f3a2e07fe8cf3678bca35d1a2377acfc781d1c3781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3917",
    "kind": "arxiv",
    "version": 1
  }
}