Pith Number

pith:BKT7YOFW

pith:2008:BKT7YOFW4KVCTFIP4WJ32SQDFC

not attested not anchored not stored refs pending

Invariant elliptic curves as attractors in the projective plane

Johan Taflin

arxiv:0811.4532 v2 · 2008-11-27 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKT7YOFW4KVCTFIP4WJ32SQDFC}

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	2026-05-18T04:30:26.726706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa7fc38b6e2aa29950fe593bd4a0328a1373378e14b1cac9bce426ba1c1df90

Aliases

arxiv: 0811.4532 · arxiv_version: 0811.4532v2 · doi: 10.48550/arxiv.0811.4532 · pith_short_12: BKT7YOFW4KVC · pith_short_16: BKT7YOFW4KVCTFIP · pith_short_8: BKT7YOFW

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/BKT7YOFW4KVCTFIP4WJ32SQDFC \
  | 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: 0aa7fc38b6e2aa29950fe593bd4a0328a1373378e14b1cac9bce426ba1c1df90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8233b4e8442c771a72fb93fbe9216fc90f1efe10cde1d0adfd2f35c3ba1b14b6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-27T13:09:08Z",
    "title_canon_sha256": "d8ff5fedb289951dfd5d9f6046f4a368a818bacd091baec4a658f9d5fad4e3de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4532",
    "kind": "arxiv",
    "version": 2
  }
}