Pith Number

pith:NI3L3XJP

pith:2012:NI3L3XJP5VM7IHKQQXQ4FZP5HA

not attested not anchored not stored refs pending

Special birational transformations of projective spaces

Alberto Alzati, Jos\'e Carlos Sierra

arxiv:1203.5690 v2 · 2012-03-26 · 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{NI3L3XJP5VM7IHKQQXQ4FZP5HA}

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	2026-05-18T03:13:34.282004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a36bddd2fed59f41d5085e1c2e5fd38308f5b5c31552c45c1a660d22f86aa54

Aliases

arxiv: 1203.5690 · arxiv_version: 1203.5690v2 · doi: 10.48550/arxiv.1203.5690 · pith_short_12: NI3L3XJP5VM7 · pith_short_16: NI3L3XJP5VM7IHKQ · pith_short_8: NI3L3XJP

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/NI3L3XJP5VM7IHKQQXQ4FZP5HA \
  | 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: 6a36bddd2fed59f41d5085e1c2e5fd38308f5b5c31552c45c1a660d22f86aa54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234c10143f80acffe7f27d6d42b6178e63c160b367716a97fca6a0a7bf538958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-26T14:52:31Z",
    "title_canon_sha256": "9c3970f6aea4fbb7a35ee8f8e562dbbddfddc244e786132981bdb0c187a034c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5690",
    "kind": "arxiv",
    "version": 2
  }
}