Pith Number

pith:ZURXDGQ5

pith:2019:ZURXDGQ5GZTORL2CCF65LQIQ6D

not attested not anchored not stored refs pending

Toral posets and the binary spectrum property

Nicholas Mayers, Vincent Coll

arxiv:1909.12918 v4 · 2019-09-27 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZURXDGQ5GZTORL2CCF65LQIQ6D}

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	2026-07-05T00:27:44.985579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd23719a1d3666e8af42117dd5c110f0e140790e44297a4d356c3334aa7834e6

Aliases

arxiv: 1909.12918 · arxiv_version: 1909.12918v4 · doi: 10.48550/arxiv.1909.12918 · pith_short_12: ZURXDGQ5GZTO · pith_short_16: ZURXDGQ5GZTORL2C · pith_short_8: ZURXDGQ5

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/ZURXDGQ5GZTORL2CCF65LQIQ6D \
  | 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: cd23719a1d3666e8af42117dd5c110f0e140790e44297a4d356c3334aa7834e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3664495163ca6347c0926e4a9f2b9a507510dbf2a05598e431773f7e38f6a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-09-27T20:46:42Z",
    "title_canon_sha256": "38afe3a7784e80eb2c66b22ad28f0f596212386409884240c8950278abb8d0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12918",
    "kind": "arxiv",
    "version": 4
  }
}