Pith Number

pith:CTTJCC2Z

pith:2012:CTTJCC2ZS74WSQYD6B7KIPQW6O

not attested not anchored not stored refs pending

Generalized degeneracy, dynamic monopolies and maximum degenerate subgraphs

Manouchehr Zaker

arxiv:1205.2856 v1 · 2012-05-13 · 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{CTTJCC2ZS74WSQYD6B7KIPQW6O}

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	2026-05-18T03:55:45.842970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e6910b5997f9694303f07ea43e16f3965f86caf0d151550370fba44211d6ca

Aliases

arxiv: 1205.2856 · arxiv_version: 1205.2856v1 · doi: 10.48550/arxiv.1205.2856 · pith_short_12: CTTJCC2ZS74W · pith_short_16: CTTJCC2ZS74WSQYD · pith_short_8: CTTJCC2Z

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/CTTJCC2ZS74WSQYD6B7KIPQW6O \
  | 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: 14e6910b5997f9694303f07ea43e16f3965f86caf0d151550370fba44211d6ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1719bfaba60c9d2619ee05f5a2f2ee7ce7fa8142660abcd5d410e2687ab909e4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-13T13:04:25Z",
    "title_canon_sha256": "9a25f471e5fccf706d48d63df5dbb22d3087b0724ac6a1e5b77da746112ebcec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2856",
    "kind": "arxiv",
    "version": 1
  }
}