Pith Number

pith:5EOBEB7M

pith:2017:5EOBEB7MWDSQ27MAD4XYARH5L7

not attested not anchored not stored refs pending

$G_\delta$-topology and compact cardinals

Toshimichi Usuba

arxiv:1709.07991 v4 · 2017-09-23 · math.LO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EOBEB7MWDSQ27MAD4XYARH5L7}

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	2026-05-18T00:10:19.231981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91c1207ecb0e50d7d801f2f8044fd5ffbf4f58a9c518415751340b85a3cb37e

Aliases

arxiv: 1709.07991 · arxiv_version: 1709.07991v4 · doi: 10.48550/arxiv.1709.07991 · pith_short_12: 5EOBEB7MWDSQ · pith_short_16: 5EOBEB7MWDSQ27MA · pith_short_8: 5EOBEB7M

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/5EOBEB7MWDSQ27MAD4XYARH5L7 \
  | 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: e91c1207ecb0e50d7d801f2f8044fd5ffbf4f58a9c518415751340b85a3cb37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43138834bb3c941459dd6ce58b38c5140ac8773a8ccd30e9ba2ae5f4ecd5c63b",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-09-23T02:50:06Z",
    "title_canon_sha256": "8e5b559c2aa6dd464e3b6c006137a8112cbae9798581f26134cd45d780163398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07991",
    "kind": "arxiv",
    "version": 4
  }
}