Pith Number

pith:XYXTEPCQ

pith:2012:XYXTEPCQ56OZBZB5RKLOZMMSA2

not attested not anchored not stored refs pending

Dp-minimality: invariant types and dp-rank

Pierre Simon

arxiv:1210.4479 v2 · 2012-10-16 · 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{XYXTEPCQ56OZBZB5RKLOZMMSA2}

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	2026-05-18T01:32:19.236616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2f323c50ef9d90e43d8a96ecb19206a247f159ebcf5eec6fb7b7a084681561

Aliases

arxiv: 1210.4479 · arxiv_version: 1210.4479v2 · doi: 10.48550/arxiv.1210.4479 · pith_short_12: XYXTEPCQ56OZ · pith_short_16: XYXTEPCQ56OZBZB5 · pith_short_8: XYXTEPCQ

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/XYXTEPCQ56OZBZB5RKLOZMMSA2 \
  | 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: be2f323c50ef9d90e43d8a96ecb19206a247f159ebcf5eec6fb7b7a084681561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b39e012312f1c1b4ab83365b7576df4763d461c9b0c1894a7e5b45522e82165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-16T16:25:27Z",
    "title_canon_sha256": "a308edc6b2b20413bb600e2c2b9c1fb4ce15211ee0558930ed7d466974ff9361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4479",
    "kind": "arxiv",
    "version": 2
  }
}