Pith Number

pith:OOIBEPNH

pith:2010:OOIBEPNHZVPQPIKCXYOJUVBEVQ

not attested not anchored not stored refs pending

Independently Axiomatizable L_{omega_1,omega} Theories

Greg Hjorth, Ioannis Souldatos

arxiv:1012.3422 v1 · 2010-12-15 · 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{OOIBEPNHZVPQPIKCXYOJUVBEVQ}

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	2026-05-18T04:33:16.862236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7390123da7cd5f07a142be1c9a5424ac238e82868db797559af955e17e809de5

Aliases

arxiv: 1012.3422 · arxiv_version: 1012.3422v1 · doi: 10.48550/arxiv.1012.3422 · pith_short_12: OOIBEPNHZVPQ · pith_short_16: OOIBEPNHZVPQPIKC · pith_short_8: OOIBEPNH

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/OOIBEPNHZVPQPIKCXYOJUVBEVQ \
  | 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: 7390123da7cd5f07a142be1c9a5424ac238e82868db797559af955e17e809de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2117c58335eb12161896986caef7d13947e23cb13713ccec802d49dbce934b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-15T18:59:24Z",
    "title_canon_sha256": "76f2f6d516b84ac728e930ab554e6a558a08be9ae09dabec942d171de590389e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3422",
    "kind": "arxiv",
    "version": 1
  }
}