Pith Number

pith:K4UTZ22V

pith:2011:K4UTZ22VV7EBCHGQLRA5N33TAW

not attested not anchored not stored refs pending

On Cremona Transformations of P^3 which factorize in a minimal form

Ivan Pan

arxiv:1104.4986 v3 · 2011-04-26 · 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{K4UTZ22VV7EBCHGQLRA5N33TAW}

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	2026-05-18T03:12:48.725807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57293ceb55afc8111cd05c41d6ef730593bef4b79c3e15cf557810c4818a9ae9

Aliases

arxiv: 1104.4986 · arxiv_version: 1104.4986v3 · doi: 10.48550/arxiv.1104.4986 · pith_short_12: K4UTZ22VV7EB · pith_short_16: K4UTZ22VV7EBCHGQ · pith_short_8: K4UTZ22V

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/K4UTZ22VV7EBCHGQLRA5N33TAW \
  | 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: 57293ceb55afc8111cd05c41d6ef730593bef4b79c3e15cf557810c4818a9ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e1eaff0de5e9a2822b1c5be8e363cdab7f1ed7fe6ebe709673201ce498d83c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-26T18:33:38Z",
    "title_canon_sha256": "150344b0a84601029d9ae24d3a786fa7789eba5ead46646cbff8391f6371c293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4986",
    "kind": "arxiv",
    "version": 3
  }
}