Pith Number

pith:GJAJKO4O

pith:2011:GJAJKO4O6UGZFKUXQCOAX3IFKQ

not attested not anchored not stored refs pending

On effective sigma-boundedness and sigma-compactness

Vladimir Kanovei

arxiv:1110.0919 v1 · 2011-10-05 · 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{GJAJKO4O6UGZFKUXQCOAX3IFKQ}

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	2026-05-18T00:08:05.599011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3240953b8ef50d92aa97809c0bed0554100f43cc81c8f8bfd7f41e9d17a51faf

Aliases

arxiv: 1110.0919 · arxiv_version: 1110.0919v1 · doi: 10.48550/arxiv.1110.0919 · pith_short_12: GJAJKO4O6UGZ · pith_short_16: GJAJKO4O6UGZFKUX · pith_short_8: GJAJKO4O

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/GJAJKO4O6UGZFKUXQCOAX3IFKQ \
  | 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: 3240953b8ef50d92aa97809c0bed0554100f43cc81c8f8bfd7f41e9d17a51faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d366edba3fc6a6c915d709bd787632d407bd030ab3aed4c1f8770f94701aa2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-05T08:20:23Z",
    "title_canon_sha256": "2b9431189a6c4d6423810c6876cd6bd755ab755dbc59cd0d9295883e0ccdc415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0919",
    "kind": "arxiv",
    "version": 1
  }
}