Pith Number

pith:TCDPOWUM

pith:2023:TCDPOWUMBHOPS34ADZQ4NR2JWA

not attested not anchored not stored refs pending

A survey of congruences and quotients of partially ordered sets

Nicholas J. Williams

arxiv:2303.03765 v4 · 2023-03-07 · math.CO · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCDPOWUMBHOPS34ADZQ4NR2JWA}

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.

Cited by

1 paper in Pith

Wild orbits and generalised singularity modules: stratifications and quantisation

Receipt and verification

First computed	2026-07-05T11:55:58.727501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9886f75a8c09dcf96f801e61c6c749b01499acf1cb668cf4b3b256ef5fa63891

Aliases

arxiv: 2303.03765 · arxiv_version: 2303.03765v4 · doi: 10.48550/arxiv.2303.03765 · pith_short_12: TCDPOWUMBHOP · pith_short_16: TCDPOWUMBHOPS34A · pith_short_8: TCDPOWUM

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/TCDPOWUMBHOPS34ADZQ4NR2JWA \
  | 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: 9886f75a8c09dcf96f801e61c6c749b01499acf1cb668cf4b3b256ef5fa63891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c2a4edf65436837d61e5ba9f38b45d78e4220057865384643c62278da78a962",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-07T09:59:15Z",
    "title_canon_sha256": "6105c0a4b2f525630560ac954d4609958211ded95fc753c54cdab63538b9667e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.03765",
    "kind": "arxiv",
    "version": 4
  }
}