Pith Number

pith:3HPCRWRT

pith:2012:3HPCRWRTTXZTWOUX2CHE3TRNPB

not attested not anchored not stored refs pending

Degrees that are not degrees of categoricity

Barbara F. Csima, Bernard A. Anderson

arxiv:1210.4220 v2 · 2012-10-15 · 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{3HPCRWRTTXZTWOUX2CHE3TRNPB}

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	2026-05-18T01:04:46.159524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9de28da339df33b3a97d08e4dce2d7851360b9244965e21f7553b023069b976

Aliases

arxiv: 1210.4220 · arxiv_version: 1210.4220v2 · doi: 10.48550/arxiv.1210.4220 · pith_short_12: 3HPCRWRTTXZT · pith_short_16: 3HPCRWRTTXZTWOUX · pith_short_8: 3HPCRWRT

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/3HPCRWRTTXZTWOUX2CHE3TRNPB \
  | 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: d9de28da339df33b3a97d08e4dce2d7851360b9244965e21f7553b023069b976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ef0eba9a8637926beee83e8449fbfcadfe04db06fa81c767ef9853bc1aad29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-15T23:56:21Z",
    "title_canon_sha256": "74c86c7ac675483ecfee9de2af168030ac4fbfa1f4fd8ad8e61b53a9406da0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4220",
    "kind": "arxiv",
    "version": 2
  }
}