Pith Number

pith:SZK64TEG

pith:2009:SZK64TEGDCO4BSXFZL3J5JGYWJ

not attested not anchored not stored refs pending

Curvature Functionals for Curves in the Equi-Affine Plane

Steven Verpoort

arxiv:0912.4075 v1 · 2009-12-21 · 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{SZK64TEGDCO4BSXFZL3J5JGYWJ}

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	2026-07-04T17:18:10.422412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9655ee4c86189dc0cae5caf69ea4d8b24ac8e5c0e924a80ee0388d74727feb2c

Aliases

arxiv: 0912.4075 · arxiv_version: 0912.4075v1 · doi: 10.48550/arxiv.0912.4075 · pith_short_12: SZK64TEGDCO4 · pith_short_16: SZK64TEGDCO4BSXF · pith_short_8: SZK64TEG

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/SZK64TEGDCO4BSXFZL3J5JGYWJ \
  | 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: 9655ee4c86189dc0cae5caf69ea4d8b24ac8e5c0e924a80ee0388d74727feb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9baf091dc00663a4e76e0e0be17b4ff709085cbb6b3077472b93485598e6aa03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-21T03:23:59Z",
    "title_canon_sha256": "5fcbe8bc14cc9f7acc21717dc6802df30704cf5aacb7f4e353535ceb51aedf23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4075",
    "kind": "arxiv",
    "version": 1
  }
}