Pith Number

pith:GFWTYTI5

pith:2016:GFWTYTI5W35X4C3QCQUF6HCEKI

not attested not anchored not stored refs pending

On the cardinality of Hausdorff spaces and H-closed spaces

Jack Porter, Nathan Carlson

arxiv:1610.09245 v1 · 2016-10-28 · 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{GFWTYTI5W35X4C3QCQUF6HCEKI}

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	2026-05-18T01:00:58.660686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316d3c4d1db6fb7e0b7014285f1c4452101ac9db20a4104edc713c28e736af5d

Aliases

arxiv: 1610.09245 · arxiv_version: 1610.09245v1 · doi: 10.48550/arxiv.1610.09245 · pith_short_12: GFWTYTI5W35X · pith_short_16: GFWTYTI5W35X4C3Q · pith_short_8: GFWTYTI5

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/GFWTYTI5W35X4C3QCQUF6HCEKI \
  | 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: 316d3c4d1db6fb7e0b7014285f1c4452101ac9db20a4104edc713c28e736af5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674940e61e47863bbe2b817e949a2dbe988c45b089e9587be773561fb8ea87c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-10-28T14:46:34Z",
    "title_canon_sha256": "4c68d48e7c816f1d72d89ffb83cca7d4fadeb092b15d83165d8ca604bf474634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09245",
    "kind": "arxiv",
    "version": 1
  }
}