Pith Number

pith:CJI2NFT3

pith:2011:CJI2NFT3RZNUEKONPF7O567PFD

not attested not anchored not stored refs pending

Proper twin-triangular Ga-actions on A^4 are translations

Adrien Dubouloz (IMB), David R. Finston

arxiv:1109.6302 v1 · 2011-09-28 · 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{CJI2NFT3RZNUEKONPF7O567PFD}

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	2026-05-18T04:12:02.891369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1251a6967b8e5b4229cd797eeefbef28c77f460f8262faf9d3094b7e317452b2

Aliases

arxiv: 1109.6302 · arxiv_version: 1109.6302v1 · doi: 10.48550/arxiv.1109.6302 · pith_short_12: CJI2NFT3RZNU · pith_short_16: CJI2NFT3RZNUEKON · pith_short_8: CJI2NFT3

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/CJI2NFT3RZNUEKONPF7O567PFD \
  | 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: 1251a6967b8e5b4229cd797eeefbef28c77f460f8262faf9d3094b7e317452b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686d3f0f2a43e3b8dc6276b4123c74b5fc4e294c03a68f6724923a0043d6461f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-28T19:22:31Z",
    "title_canon_sha256": "52b648865ea0cd9725f4cab62f9882b71c2b5439a1f49ffc15107ea137bfed1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6302",
    "kind": "arxiv",
    "version": 1
  }
}