Pith Number

pith:2L4K4CJM

pith:2011:2L4K4CJMLTF5CBB24HBUJ6OQZG

not attested not anchored not stored refs pending

Degree growth of birational maps of the plane

J\'er\'emy Blanc, Julie D\'eserti

arxiv:1109.6810 v3 · 2011-09-30 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L4K4CJMLTF5CBB24HBUJ6OQZG}

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	2026-05-18T01:34:31.071244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f8ae092c5ccbd1043ae1c344f9d0c9b05962fd0633e227e6f12e54a4ef2826

Aliases

arxiv: 1109.6810 · arxiv_version: 1109.6810v3 · doi: 10.48550/arxiv.1109.6810 · pith_short_12: 2L4K4CJMLTF5 · pith_short_16: 2L4K4CJMLTF5CBB2 · pith_short_8: 2L4K4CJM

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/2L4K4CJMLTF5CBB24HBUJ6OQZG \
  | 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: d2f8ae092c5ccbd1043ae1c344f9d0c9b05962fd0633e227e6f12e54a4ef2826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b68c37bcc116aaef07604b4b8cbf0989f8e8420580adf9a0ed67085127fff6e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-30T12:43:53Z",
    "title_canon_sha256": "a16be35a7d3c2f6d07741863205b870ce37b14484c45474f1eba886536e82e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6810",
    "kind": "arxiv",
    "version": 3
  }
}