Pith Number

pith:J7K4W66L

pith:2013:J7K4W66LTD2W4EGCSWM2W3SOMF

not attested not anchored not stored refs pending

Unbounded convex polygons as polynomial images of the plane

Carlos Ueno

arxiv:1307.8341 v1 · 2013-07-31 · 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{J7K4W66LTD2W4EGCSWM2W3SOMF}

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	2026-05-18T03:17:01.482588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd5cb7bcb98f56e10c29599ab6e4e6171cb618a1f282507cc9b26520a6aaccd

Aliases

arxiv: 1307.8341 · arxiv_version: 1307.8341v1 · doi: 10.48550/arxiv.1307.8341 · pith_short_12: J7K4W66LTD2W · pith_short_16: J7K4W66LTD2W4EGC · pith_short_8: J7K4W66L

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/J7K4W66LTD2W4EGCSWM2W3SOMF \
  | 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: 4fd5cb7bcb98f56e10c29599ab6e4e6171cb618a1f282507cc9b26520a6aaccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9c0d11fb2c07f8a2139df770191bfb3f85e3ed92d7f8eb889e6e1cdf38b977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-31T14:51:02Z",
    "title_canon_sha256": "4331e7ed3470666cfadc55aa70e52b7ead0958fa2c5992ba689029690cebf444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8341",
    "kind": "arxiv",
    "version": 1
  }
}