Pith Number

pith:QQGSQ2VG

pith:2026:QQGSQ2VGLKFRZQNNYODITJCKNE

not attested not anchored not stored refs pending

A Polynomial-Time Rule Satisfying Full Justified Representation

Fabian Frank, Jannik Peters

arxiv:2608.05397 v1 · 2026-08-05 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQGSQ2VGLKFRZQNNYODITJCKNE}

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	2026-08-07T00:47:35.498365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840d286aa65a8b1cc1adc38689a44a6927431b5513afd2748300eefbe738b53c

Aliases

arxiv: 2608.05397 · arxiv_version: 2608.05397v1 · doi: 10.48550/arxiv.2608.05397 · pith_short_12: QQGSQ2VGLKFR · pith_short_16: QQGSQ2VGLKFRZQNN · pith_short_8: QQGSQ2VG

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/QQGSQ2VGLKFRZQNNYODITJCKNE \
  | 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: 840d286aa65a8b1cc1adc38689a44a6927431b5513afd2748300eefbe738b53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b531281dcaadf7f94a07e44448b028c9f9da79eed70cd37af92ad26d0e8fae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-05T20:28:38Z",
    "title_canon_sha256": "24e3feadc5e8be2204b5008aaa4587142a750e3645103d3ce61733c0bae6eb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05397",
    "kind": "arxiv",
    "version": 1
  }
}