Pith Number

pith:UEOM7TGT

pith:2012:UEOM7TGTC57HD6TIPSFKHRDYAL

not attested not anchored not stored refs pending

Transfinite inductions producing coanalytic sets

Zolt\'an Vidny\'anszky

arxiv:1209.4267 v4 · 2012-09-19 · 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{UEOM7TGTC57HD6TIPSFKHRDYAL}

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	2026-05-18T01:23:21.106040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a11ccfccd3177e71fa687c8aa3c47802f5b6ec56ad70ad96667750ea9f29d1c0

Aliases

arxiv: 1209.4267 · arxiv_version: 1209.4267v4 · doi: 10.48550/arxiv.1209.4267 · pith_short_12: UEOM7TGTC57H · pith_short_16: UEOM7TGTC57HD6TI · pith_short_8: UEOM7TGT

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/UEOM7TGTC57HD6TIPSFKHRDYAL \
  | 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: a11ccfccd3177e71fa687c8aa3c47802f5b6ec56ad70ad96667750ea9f29d1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e411b9b517c517a4b55fb642d77923490ce82ce9660e5764f7e3f2af28eb88c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-19T14:51:32Z",
    "title_canon_sha256": "63a4cb701723c7dc4ce9dfd120f6c9cb8dc5171ec2bf7c62b75c65549da93b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4267",
    "kind": "arxiv",
    "version": 4
  }
}