Pith Number

pith:TI2KTKGK

pith:2012:TI2KTKGKFWHLSX2BXVUH6AK44D

not attested not anchored not stored refs pending

Linear non-homogenous patterns and prime power generators in numerical semigroups associated to combinatorial configurations

Klara Stokes, Maria Bras-Amor\'os

arxiv:1212.3740 v1 · 2012-12-16 · math.GR · 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{TI2KTKGKFWHLSX2BXVUH6AK44D}

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	2026-05-18T03:38:22.527287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a34a9a8ca2d8eb95f41bd687f015ce0f3b35beab6a859bcbfcc47f4402c3efb

Aliases

arxiv: 1212.3740 · arxiv_version: 1212.3740v1 · doi: 10.48550/arxiv.1212.3740 · pith_short_12: TI2KTKGKFWHL · pith_short_16: TI2KTKGKFWHLSX2B · pith_short_8: TI2KTKGK

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/TI2KTKGKFWHLSX2BXVUH6AK44D \
  | 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: 9a34a9a8ca2d8eb95f41bd687f015ce0f3b35beab6a859bcbfcc47f4402c3efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb79f66b01cc8c17b66998160e5d94b582edf4cf0761c4941cd3182641fb62b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-16T00:06:00Z",
    "title_canon_sha256": "0799ef77213f63473bb5ce80b505155f63a07a727066e4b6707f610d58847c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3740",
    "kind": "arxiv",
    "version": 1
  }
}