Pith Number

pith:E3FOZFJZ

pith:2010:E3FOZFJZXEFLR43SGEEQOYNX22

not attested not anchored not stored refs pending

On the number of factors in the unipotent factorization of holomorphic mappings into $\text{SL}_2(\mathbb{C})$

Bj\"orn Ivarsson, Frank Kutzschebauch

arxiv:1012.1025 v1 · 2010-12-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3FOZFJZXEFLR43SGEEQOYNX22}

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	2026-05-18T04:34:01.928786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26caec9539b90ab8f37231090761b7d6894ec2a41d2ecccad78168e0aa4c5b03

Aliases

arxiv: 1012.1025 · arxiv_version: 1012.1025v1 · doi: 10.48550/arxiv.1012.1025 · pith_short_12: E3FOZFJZXEFL · pith_short_16: E3FOZFJZXEFLR43S · pith_short_8: E3FOZFJZ

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/E3FOZFJZXEFLR43SGEEQOYNX22 \
  | 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: 26caec9539b90ab8f37231090761b7d6894ec2a41d2ecccad78168e0aa4c5b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2088a640fe31c92f352aff87aca8f4941a312f9b71040960ee8c295abc67e626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-05T18:31:05Z",
    "title_canon_sha256": "7b75aba7d52b76a6a92a9fddcda451f601bd61735031b4b86f5ef95b20c67dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1025",
    "kind": "arxiv",
    "version": 1
  }
}