Pith Number

pith:FUW6AFZU

pith:2013:FUW6AFZUGCPVFFGZGRMWHDZBD5

not attested not anchored not stored refs pending

Normal form for Ritt's Second Theorem

Joachim von zur Gathen

arxiv:1308.1135 v2 · 2013-08-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUW6AFZUGCPVFFGZGRMWHDZBD5}

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	2026-05-18T02:49:28.845873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2de01734309f5294d93459638f211f7dca0e76c6c807592a209619b3c8502a

Aliases

arxiv: 1308.1135 · arxiv_version: 1308.1135v2 · doi: 10.48550/arxiv.1308.1135 · pith_short_12: FUW6AFZUGCPV · pith_short_16: FUW6AFZUGCPVFFGZ · pith_short_8: FUW6AFZU

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/FUW6AFZUGCPVFFGZGRMWHDZBD5 \
  | 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: 2d2de01734309f5294d93459638f211f7dca0e76c6c807592a209619b3c8502a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2df6945d29990ecc9c04085bdfc7c6aaf56b4776ef038c97f445d940ef997fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-05T22:35:15Z",
    "title_canon_sha256": "23180f075f25203a047d360cb042c32ac91b4adca554a870b6ce772aa62c8e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1135",
    "kind": "arxiv",
    "version": 2
  }
}