Pith Number

pith:TRZ3GVWN

pith:2008:TRZ3GVWNVFME2FRPPYZOJ3ZSVS

not attested not anchored not stored refs pending

Upper bounds for alpha-domination parameters

Andrei Gagarin, Anush Poghosyan, Vadim E. Zverovich

arxiv:0805.0612 v1 · 2008-05-05 · 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{TRZ3GVWNVFME2FRPPYZOJ3ZSVS}

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	2026-05-18T04:32:43.798165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c73b356cda9584d162f7e32e4ef32aca640d725b4759e3f0dce48ec5e242e99

Aliases

arxiv: 0805.0612 · arxiv_version: 0805.0612v1 · doi: 10.48550/arxiv.0805.0612 · pith_short_12: TRZ3GVWNVFME · pith_short_16: TRZ3GVWNVFME2FRP · pith_short_8: TRZ3GVWN

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/TRZ3GVWNVFME2FRPPYZOJ3ZSVS \
  | 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: 9c73b356cda9584d162f7e32e4ef32aca640d725b4759e3f0dce48ec5e242e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20e3bc9d2c49ddc53ceabd9a72a49ea482382a134a9fc1febc0b4bf0d1b1bcc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-05-05T22:20:55Z",
    "title_canon_sha256": "9bf7786cbcc63217098f5ee4b0eba576089c3b9dcad30e55de18210660fb2a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0612",
    "kind": "arxiv",
    "version": 1
  }
}