Pith Number

pith:4X4XCHKQ

pith:2026:4X4XCHKQXLPWP76TK47SGY3GCF

not attested not anchored not stored refs pending

Faster Exponential-Time Approximate Counting via Bounded Self-Reductions

Katie Clinch, Qi Wang, Serge Gaspers, Simon Mackenzie

arxiv:2607.06393 v1 · 2026-07-07 · 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{4X4XCHKQXLPWP76TK47SGY3GCF}

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	2026-07-08T01:19:24.077798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f9711d50badf67ffd3573f23636611759194986f79fe009d7f295331ee3cc9

Aliases

arxiv: 2607.06393 · arxiv_version: 2607.06393v1 · doi: 10.48550/arxiv.2607.06393 · pith_short_12: 4X4XCHKQXLPW · pith_short_16: 4X4XCHKQXLPWP76T · pith_short_8: 4X4XCHKQ

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/4X4XCHKQXLPWP76TK47SGY3GCF \
  | 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: e5f9711d50badf67ffd3573f23636611759194986f79fe009d7f295331ee3cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbd95911d3d8f34dd4853c30f994f751cec23c280412e85a3b4e5469a899aec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-07T15:25:53Z",
    "title_canon_sha256": "9e39647c752fb367136625a82f40fdc2aaf304c4c219365d3f2a07abe2f1237f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06393",
    "kind": "arxiv",
    "version": 1
  }
}