Pith Number

pith:KGPBHAAQ

pith:2015:KGPBHAAQPG2745NB32GOV2UWIL

not attested not anchored not stored refs pending

Model sets, almost periodic patterns, uniform density and linear maps

Pierre-Antoine Guih\'eneuf

arxiv:1512.00650 v1 · 2015-12-02 · math.DS · cs.DM · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGPBHAAQPG2745NB32GOV2UWIL}

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	2026-05-18T01:25:25.468214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519e13801079b5fe75a1de8ceaea9642f8ed23bea88523d7f4f1cec9abb0f8e7

Aliases

arxiv: 1512.00650 · arxiv_version: 1512.00650v1 · doi: 10.48550/arxiv.1512.00650 · pith_short_12: KGPBHAAQPG27 · pith_short_16: KGPBHAAQPG2745NB · pith_short_8: KGPBHAAQ

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/KGPBHAAQPG2745NB32GOV2UWIL \
  | 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: 519e13801079b5fe75a1de8ceaea9642f8ed23bea88523d7f4f1cec9abb0f8e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f505b2b74db9f0de45b01e71804bf6f11bf62301a962ebe47a28a9bfc4dd61ee",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-02T11:09:25Z",
    "title_canon_sha256": "16ffc1bbb921707900141eb1edc3517975e7da01692822044b71470d57b5ea56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00650",
    "kind": "arxiv",
    "version": 1
  }
}