Pith Number

pith:IF2O46K7

pith:2011:IF2O46K7Z4APWYJ3YVMX3IBW3M

not attested not anchored not stored refs pending

Affine Properties of Convex Equal-Area Polygons

Marcos Craizer, Moacyr A. H. B. da Silva, Ralph C. Teixeira

arxiv:1103.2722 v4 · 2011-03-14 · 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{IF2O46K7Z4APWYJ3YVMX3IBW3M}

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	2026-05-18T02:22:19.312061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4174ee795fcf00fb613bc5597da036db06adfb25a59c1de77c8521d4bc93b225

Aliases

arxiv: 1103.2722 · arxiv_version: 1103.2722v4 · doi: 10.48550/arxiv.1103.2722 · pith_short_12: IF2O46K7Z4AP · pith_short_16: IF2O46K7Z4APWYJ3 · pith_short_8: IF2O46K7

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/IF2O46K7Z4APWYJ3YVMX3IBW3M \
  | 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: 4174ee795fcf00fb613bc5597da036db06adfb25a59c1de77c8521d4bc93b225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8379a539a754a8fa13e72640675319b5155e6d6030427300eebde33173ee1e77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-14T17:37:21Z",
    "title_canon_sha256": "c77cbcca5b5bf1749adec7e9bbe066475e222d4e28e178b2647972b95c300d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2722",
    "kind": "arxiv",
    "version": 4
  }
}