Pith Number

pith:GVXTC2HR

pith:2024:GVXTC2HRJARYPKHGEL345LKRDR

not attested not anchored not stored refs pending

On Extremal Properties of k-CNF: Capturing Threshold Functions

Marvin K\"unnemann, Mohit Gurumukhani, Ramamohan Paturi

arxiv:2412.20493 v1 · 2024-12-29 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVXTC2HRJARYPKHGEL345LKRDR}

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	2026-07-05T09:55:17.872122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356f3168f1482387a8e622f7cead511c7d5e36db9e8266db916f264c4af57b64

Aliases

arxiv: 2412.20493 · arxiv_version: 2412.20493v1 · doi: 10.48550/arxiv.2412.20493 · pith_short_12: GVXTC2HRJARY · pith_short_16: GVXTC2HRJARYPKHG · pith_short_8: GVXTC2HR

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/GVXTC2HRJARYPKHGEL345LKRDR \
  | 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: 356f3168f1482387a8e622f7cead511c7d5e36db9e8266db916f264c4af57b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e32184ed062b2fa9322a11e8eced757056fcc19ebdb6ed401d092bc45111f5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-12-29T15:15:11Z",
    "title_canon_sha256": "5e523def5268febdf26f82f7b05509b72d0ff9e57fc862f53cd6dfa56c8936c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20493",
    "kind": "arxiv",
    "version": 1
  }
}