Pith Number

pith:OOZRC5GN

pith:2017:OOZRC5GNFQQWS4ARRG37HGIEQF

not attested not anchored not stored refs pending

The Core Label Order of a Congruence-Uniform Lattice

Henri M\"uhle

arxiv:1708.02104 v5 · 2017-08-07 · 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{OOZRC5GNFQQWS4ARRG37HGIEQF}

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	2026-05-17T23:48:53.118135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b31174cd2c2169701189b7f39904817b02cfa8ad3bde2aa03839a17b3a55bb

Aliases

arxiv: 1708.02104 · arxiv_version: 1708.02104v5 · doi: 10.48550/arxiv.1708.02104 · pith_short_12: OOZRC5GNFQQW · pith_short_16: OOZRC5GNFQQWS4AR · pith_short_8: OOZRC5GN

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/OOZRC5GNFQQWS4ARRG37HGIEQF \
  | 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: 73b31174cd2c2169701189b7f39904817b02cfa8ad3bde2aa03839a17b3a55bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33131bc4b24461140282c8d5872d209cee4d1097b41dbba65be047a5232575d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-07T13:05:54Z",
    "title_canon_sha256": "584f53b5a25c030d3e6698717877e93591fdc364006cefa3e2038eded8f08921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02104",
    "kind": "arxiv",
    "version": 5
  }
}