Pith Number

pith:G3TXGJSX

pith:2025:G3TXGJSX3N7YLBSMGNBFGXWWZ7

not attested not anchored not stored refs pending

Constant Time with Minimal Preprocessing, a Robust and Extensive Complexity Class

\'Etienne Grandjean, Louis Jachiet

arxiv:2509.10188 v1 · 2025-09-12 · cs.DS · 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{G3TXGJSX3N7YLBSMGNBFGXWWZ7}

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	2026-07-05T12:11:04.536200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e7732657db7f85864c3342535ed6cff818373e42c34cf0d87c72bc769f0c13

Aliases

arxiv: 2509.10188 · arxiv_version: 2509.10188v1 · doi: 10.48550/arxiv.2509.10188 · pith_short_12: G3TXGJSX3N7Y · pith_short_16: G3TXGJSX3N7YLBSM · pith_short_8: G3TXGJSX

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/G3TXGJSX3N7YLBSMGNBFGXWWZ7 \
  | 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: 36e7732657db7f85864c3342535ed6cff818373e42c34cf0d87c72bc769f0c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac8e540b6fd0bb2467019320d16fc403a5064e86f91044d2cc12085caf87729",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-09-12T12:28:23Z",
    "title_canon_sha256": "c7bcc7a2aab4909c5d8f6c92f6a4a720966737dd98717d9185c0617bd691fe18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10188",
    "kind": "arxiv",
    "version": 1
  }
}