Pith Number

pith:7EJZKMYO

pith:2012:7EJZKMYOHK6KNZTDJKRSRILSII

not attested not anchored not stored refs pending

Polytopal affine semigroups with holes deep inside

Lukas Katth\"an

arxiv:1210.4357 v2 · 2012-10-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EJZKMYOHK6KNZTDJKRSRILSII}

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	2026-05-18T01:55:58.455836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f91395330e3abca6e6634aa328a172421595996bac89101a8fb39cad979f4d4c

Aliases

arxiv: 1210.4357 · arxiv_version: 1210.4357v2 · doi: 10.48550/arxiv.1210.4357 · pith_short_12: 7EJZKMYOHK6K · pith_short_16: 7EJZKMYOHK6KNZTD · pith_short_8: 7EJZKMYO

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/7EJZKMYOHK6KNZTDJKRSRILSII \
  | 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: f91395330e3abca6e6634aa328a172421595996bac89101a8fb39cad979f4d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b906416368e530a3a06ae69ab3f881af1eea682b15badf6b205c09e322d6f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-16T11:07:13Z",
    "title_canon_sha256": "2e862b147cf89c7f17ec1c12f8801bf6c6a5d00e032456310b32a83baaa50e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4357",
    "kind": "arxiv",
    "version": 2
  }
}