Pith Number

pith:ATOZ2X2T

pith:2009:ATOZ2X2TYDUEPB5POBMEYFCLJB

not attested not anchored not stored refs pending

General affine surface areas

Monika Ludwig

arxiv:0908.2191 v2 · 2009-08-15 · math.MG · 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{ATOZ2X2TYDUEPB5POBMEYFCLJB}

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	2026-05-17T23:43:18.994880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04dd9d5f53c0e84787af70584c144b485f638fd4cf9ea98bad3005400dca2d43

Aliases

arxiv: 0908.2191 · arxiv_version: 0908.2191v2 · doi: 10.48550/arxiv.0908.2191 · pith_short_12: ATOZ2X2TYDUE · pith_short_16: ATOZ2X2TYDUEPB5P · pith_short_8: ATOZ2X2T

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/ATOZ2X2TYDUEPB5POBMEYFCLJB \
  | 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: 04dd9d5f53c0e84787af70584c144b485f638fd4cf9ea98bad3005400dca2d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1990e2efd8539b121b6489b0a186a8e28b7e7737e97a3be6b131d5d6cd498d3a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-08-15T16:57:23Z",
    "title_canon_sha256": "8201cead60bdfa092a3ed9ff76c8cc8da4f9e9b55e30310effe1ea833d1466d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2191",
    "kind": "arxiv",
    "version": 2
  }
}