Pith Number

pith:JWAUKMXO

pith:2010:JWAUKMXOKPI635YCOLOARB5L3V

not attested not anchored not stored refs pending

Symplectic birational transformations of the plane

J\'er\'emy Blanc

arxiv:1012.0706 v1 · 2010-12-03 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWAUKMXOKPI635YCOLOARB5L3V}

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	2026-05-18T03:15:18.996599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d814532ee53d1edf70272dc0887abdd4d22e88344d5940a9e87165adad40f8b

Aliases

arxiv: 1012.0706 · arxiv_version: 1012.0706v1 · doi: 10.48550/arxiv.1012.0706 · pith_short_12: JWAUKMXOKPI6 · pith_short_16: JWAUKMXOKPI635YC · pith_short_8: JWAUKMXO

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/JWAUKMXOKPI635YCOLOARB5L3V \
  | 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: 4d814532ee53d1edf70272dc0887abdd4d22e88344d5940a9e87165adad40f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfdc065fffd72cea0599bfdf02effd203c812c4322ff4ef2caaa5956bd1a984",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-03T11:33:13Z",
    "title_canon_sha256": "7d9f1c7d91a2f766cd1d3ee732d31e69d0091e19e24872e2c2db756f6771e2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0706",
    "kind": "arxiv",
    "version": 1
  }
}