Pith Number

pith:CIEFE3AZ

pith:2007:CIEFE3AZ7P5KFCTSDWGCWTDCJ3

not attested not anchored not stored refs pending

Generalizing circles over algebraic extensions

Carlos Villarino, J. Rafael Sendra, Luis Felipe Tabera, Tomas Recio

arxiv:0704.1384 v1 · 2007-04-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIEFE3AZ7P5KFCTSDWGCWTDCJ3}

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	2026-05-18T03:01:22.518504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1208526c19fbfaa28a721d8c2b4c624ee03a0aa57a05ae82c813eb19dd07d9c3

Aliases

arxiv: 0704.1384 · arxiv_version: 0704.1384v1 · doi: 10.48550/arxiv.0704.1384 · pith_short_12: CIEFE3AZ7P5K · pith_short_16: CIEFE3AZ7P5KFCTS · pith_short_8: CIEFE3AZ

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/CIEFE3AZ7P5KFCTSDWGCWTDCJ3 \
  | 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: 1208526c19fbfaa28a721d8c2b4c624ee03a0aa57a05ae82c813eb19dd07d9c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8424dc784cd87c8d6dce994f7cb660fdb395c8d338bdf934807aa4d40db5dd96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-04-11T09:49:43Z",
    "title_canon_sha256": "f5e730dfaea3e5dc2458cf8bcd9ba0df912a571e2051a9fd739881f4bd5b11c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1384",
    "kind": "arxiv",
    "version": 1
  }
}