Pith Number

pith:QCAIPCFO

pith:2012:QCAIPCFO3IOHZHUIN423QE2ZM4

not attested not anchored not stored refs pending

Relation Liftings on Preorders and Posets

Alexander Kurz, Daniela Petrisan, Jiri Velebil, Marta Bilkova

arxiv:1210.1433 v1 · 2012-10-04 · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCAIPCFO3IOHZHUIN423QE2ZM4}

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	2026-05-18T03:44:03.559618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80808788aeda1c7c9e886f35b81359673a2544d481fd312a84263106c07dd0a0

Aliases

arxiv: 1210.1433 · arxiv_version: 1210.1433v1 · doi: 10.48550/arxiv.1210.1433 · pith_short_12: QCAIPCFO3IOH · pith_short_16: QCAIPCFO3IOHZHUI · pith_short_8: QCAIPCFO

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/QCAIPCFO3IOHZHUIN423QE2ZM4 \
  | 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: 80808788aeda1c7c9e886f35b81359673a2544d481fd312a84263106c07dd0a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3dbf2da56bce85eaeef8afee0fdf983060b3306577f79a1855bf789a1bc754",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-10-04T13:38:28Z",
    "title_canon_sha256": "d8d908aef9d6cd81547fd057c217db759bad47ed19f3686aa554bcbd796861f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1433",
    "kind": "arxiv",
    "version": 1
  }
}