Pith Number

pith:62CPCMCB

pith:2026:62CPCMCBZFERLWZC4QFXV3UQSD

not attested not anchored not stored refs pending

Counting in logarithmic space

\'Alvaro Guti\'errez, Christian Ikenmeyer, Greta Panova

arxiv:2607.15881 v1 · 2026-07-17 · math.CO · 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{62CPCMCBZFERLWZC4QFXV3UQSD}

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	2026-07-20T01:19:15.175815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f684f13041c94915db22e40b7aee9090c580f91d21a1a14d84b7593fb26d459b

Aliases

arxiv: 2607.15881 · arxiv_version: 2607.15881v1 · doi: 10.48550/arxiv.2607.15881 · pith_short_12: 62CPCMCBZFER · pith_short_16: 62CPCMCBZFERLWZC · pith_short_8: 62CPCMCB

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/62CPCMCBZFERLWZC4QFXV3UQSD \
  | 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: f684f13041c94915db22e40b7aee9090c580f91d21a1a14d84b7593fb26d459b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce2da9c72eb942a67b8b306dfebc0f62dd1dce0ce470c26cccc856c00fe1f2a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-17T11:50:18Z",
    "title_canon_sha256": "8f60b7b1e14cd9fcedee543c392c6eaf9c9fd7ad6ce11ce0a94d0bddffc0ef36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15881",
    "kind": "arxiv",
    "version": 1
  }
}