Pith Number

pith:L7UDBOPQ

pith:2012:L7UDBOPQERJ7UHRPGX3OE5P6HD

not attested not anchored not stored refs pending

Compositions and collisions at degree p^2

Joachim von zur Gathen, Konstantin Ziegler, Raoul Blankertz

arxiv:1202.5810 v3 · 2012-02-27 · math.AC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7UDBOPQERJ7UHRPGX3OE5P6HD}

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	2026-05-18T03:07:41.422852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe830b9f02453fa1e2f35f6e275fe38ca694670bff7dacfc1c4559bcf3ce1ce

Aliases

arxiv: 1202.5810 · arxiv_version: 1202.5810v3 · doi: 10.48550/arxiv.1202.5810 · pith_short_12: L7UDBOPQERJ7 · pith_short_16: L7UDBOPQERJ7UHRP · pith_short_8: L7UDBOPQ

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/L7UDBOPQERJ7UHRPGX3OE5P6HD \
  | 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: 5fe830b9f02453fa1e2f35f6e275fe38ca694670bff7dacfc1c4559bcf3ce1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a810a4c23fb256626920cd3b4d4198e0cdbf7d71950b3612c482e32b8347f5",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-27T01:00:19Z",
    "title_canon_sha256": "12134bc3a6cc2501f5e2a476c5d71404902b7b0ba194bdf6d2cd991a3913d1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5810",
    "kind": "arxiv",
    "version": 3
  }
}