Pith Number

pith:I7IIUCSU

pith:2014:I7IIUCSU5VH2DKAWNWOMK46UR6

not attested not anchored not stored refs pending

On countable cofinality and decomposition of definable thin orderings

Vassily Lyubetsky, Vladimir Kanovei

arxiv:1412.0195 v1 · 2014-11-30 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7IIUCSU5VH2DKAWNWOMK46UR6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:08:05.503412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d08a0a54ed4fa1a8166d9cc573d48f81027754ce3c4e053d9575df67130c7b

Aliases

arxiv: 1412.0195 · arxiv_version: 1412.0195v1 · doi: 10.48550/arxiv.1412.0195 · pith_short_12: I7IIUCSU5VH2 · pith_short_16: I7IIUCSU5VH2DKAW · pith_short_8: I7IIUCSU

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/I7IIUCSU5VH2DKAWNWOMK46UR6 \
  | 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: 47d08a0a54ed4fa1a8166d9cc573d48f81027754ce3c4e053d9575df67130c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478b78cf764b6d8e80936c2403e28f48ca32f78aae5f33375cfbed01ce5ab074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-30T08:33:25Z",
    "title_canon_sha256": "6882f48c66e5cb149ca2867fa43a9825a3f9ca2c1223db43a9dc1af4bb46e68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0195",
    "kind": "arxiv",
    "version": 1
  }
}