Pith Number

pith:HG64CRWX

pith:2009:HG64CRWXE4OVIH67XJ6DR5AVWQ

not attested not anchored not stored refs pending

A proof of completeness for continuous first-order logic

Arthur Paul Pedersen, Ita\"i Ben Yaacov (ICJ)

arxiv:0903.4051 v1 · 2009-03-24 · 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{HG64CRWXE4OVIH67XJ6DR5AVWQ}

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	2026-05-18T02:59:48.871942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bdc146d7271d541fdfba7c38f415b42a98c0928817a6d7ffa342b060a815d0

Aliases

arxiv: 0903.4051 · arxiv_version: 0903.4051v1 · doi: 10.48550/arxiv.0903.4051 · pith_short_12: HG64CRWXE4OV · pith_short_16: HG64CRWXE4OVIH67 · pith_short_8: HG64CRWX

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/HG64CRWXE4OVIH67XJ6DR5AVWQ \
  | 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: 39bdc146d7271d541fdfba7c38f415b42a98c0928817a6d7ffa342b060a815d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef676a924acae2d929a86b546f1ee075769859ed727122d72947333f6bed593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-03-24T09:47:52Z",
    "title_canon_sha256": "dfacb962f3fab44e87a8097360f1568b7c941069b869f0a85a66b8f097a69ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4051",
    "kind": "arxiv",
    "version": 1
  }
}