Pith Number

pith:J3QOQFMY

pith:2012:J3QOQFMYN5JER6CNNIQ374HF4I

not attested not anchored not stored refs pending

Cascades, Order and Ultrafilters

Andrzej Starosolski

arxiv:1201.2146 v1 · 2012-01-10 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3QOQFMYN5JER6CNNIQ374HF4I}

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	2026-05-18T04:04:53.826779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee0e815986f5248f84d6a21bff0e5e2202801ec25da53b26f546cdc283c4fab

Aliases

arxiv: 1201.2146 · arxiv_version: 1201.2146v1 · doi: 10.48550/arxiv.1201.2146 · pith_short_12: J3QOQFMYN5JE · pith_short_16: J3QOQFMYN5JER6CN · pith_short_8: J3QOQFMY

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/J3QOQFMYN5JER6CNNIQ374HF4I \
  | 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: 4ee0e815986f5248f84d6a21bff0e5e2202801ec25da53b26f546cdc283c4fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32427ea65fbe122d7f0a1b3adcfb3f9815208800b75f62e25d6de03feaf83792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-10T19:41:05Z",
    "title_canon_sha256": "8fe711c11fa182af725c253c1b4ecf80f3a83142532d9749fd8746a74aef42f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2146",
    "kind": "arxiv",
    "version": 1
  }
}