Pith Number

pith:WDUMK3ZS

pith:2012:WDUMK3ZSQD444F4DQOMNUBVUMF

not attested not anchored not stored refs pending

Small polygons and toric codes

Alexander M. Kasprzyk, Gavin Brown

arxiv:1204.0248 v1 · 2012-04-01 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDUMK3ZSQD444F4DQOMNUBVUMF}

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	2026-05-18T03:34:59.454390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e8c56f3280f9ce17838398da06b461725fb75ddaec7551619050c4c1bb7e71

Aliases

arxiv: 1204.0248 · arxiv_version: 1204.0248v1 · doi: 10.48550/arxiv.1204.0248 · pith_short_12: WDUMK3ZSQD44 · pith_short_16: WDUMK3ZSQD444F4D · pith_short_8: WDUMK3ZS

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/WDUMK3ZSQD444F4DQOMNUBVUMF \
  | 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: b0e8c56f3280f9ce17838398da06b461725fb75ddaec7551619050c4c1bb7e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542df8ed2a1b41231ad9ce55e96b247892dcca82bd107b77ab06dc864aa13459",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-01T17:27:13Z",
    "title_canon_sha256": "73b176f87d6b382e383ddaa34fad29263618be5e62bfdc0c56c05602659b33fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0248",
    "kind": "arxiv",
    "version": 1
  }
}