Pith Number

pith:3IS5W2SA

pith:2013:3IS5W2SAYVU7EGRAHV24MWKEIN

not attested not anchored not stored refs pending

Definable closure in randomizations

H. Jerome Keisler, Isaac Goldbring, Uri Andrews

arxiv:1304.7797 v1 · 2013-04-29 · 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{3IS5W2SAYVU7EGRAHV24MWKEIN}

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	2026-05-18T03:26:51.840098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da25db6a40c569f21a203d75c65944434b954a73a204fa678821ae2dedaa785b

Aliases

arxiv: 1304.7797 · arxiv_version: 1304.7797v1 · doi: 10.48550/arxiv.1304.7797 · pith_short_12: 3IS5W2SAYVU7 · pith_short_16: 3IS5W2SAYVU7EGRA · pith_short_8: 3IS5W2SA

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/3IS5W2SAYVU7EGRAHV24MWKEIN \
  | 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: da25db6a40c569f21a203d75c65944434b954a73a204fa678821ae2dedaa785b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48847ee9252c24ca1caeee3668bdea20bf40d207e19e289f8a72185996a669f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-04-29T20:46:18Z",
    "title_canon_sha256": "e2ff07a4d6d72ab085bdbce8b458534b4134dc53cfc7995feb29216899342a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7797",
    "kind": "arxiv",
    "version": 1
  }
}