Pith Number

pith:FT3ZCGCP

pith:2013:FT3ZCGCPTF65W3Q75UPXJMGLBP

not attested not anchored not stored refs pending

Landen transforms as families of (commuting) rational self-maps of projective space

Joseph H. Silverman, Michael Joyce, Shu Kawaguchi

arxiv:1308.5355 v1 · 2013-08-24 · math.AG · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT3ZCGCPTF65W3Q75UPXJMGLBP}

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	2026-05-18T00:36:36.014183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf791184f997ddb6e1fed1f74b0cb0bdc66aa250f03f11f14a0e7cc4a7f236b

Aliases

arxiv: 1308.5355 · arxiv_version: 1308.5355v1 · doi: 10.48550/arxiv.1308.5355 · pith_short_12: FT3ZCGCPTF65 · pith_short_16: FT3ZCGCPTF65W3Q7 · pith_short_8: FT3ZCGCP

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/FT3ZCGCPTF65W3Q75UPXJMGLBP \
  | 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: 2cf791184f997ddb6e1fed1f74b0cb0bdc66aa250f03f11f14a0e7cc4a7f236b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686483d6e661c3bcd1b4bce6d4af2c510aed3ff3394487ec2caacc523605dd2e",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-24T19:36:15Z",
    "title_canon_sha256": "d0f07922a214bafe80d8766ea615e0ca0108b79e65be3f0c50169731cf7187f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5355",
    "kind": "arxiv",
    "version": 1
  }
}