Pith Number

pith:72KOD5UU

pith:2019:72KOD5UUTHLCHBFF63VPKEYYOG

not attested not anchored not stored refs pending

Small cardinals and small Efimov spaces

Alan Dow, Will Brian

arxiv:1901.06055 v1 · 2019-01-18 · 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{72KOD5UUTHLCHBFF63VPKEYYOG}

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	2026-05-17T23:56:04.705215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe94e1f69499d62384a5f6eaf5131871b8fff4d93354b9ad589ea38e35805ad4

Aliases

arxiv: 1901.06055 · arxiv_version: 1901.06055v1 · doi: 10.48550/arxiv.1901.06055 · pith_short_12: 72KOD5UUTHLC · pith_short_16: 72KOD5UUTHLCHBFF · pith_short_8: 72KOD5UU

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/72KOD5UUTHLCHBFF63VPKEYYOG \
  | 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: fe94e1f69499d62384a5f6eaf5131871b8fff4d93354b9ad589ea38e35805ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba95416408c544c0c4a80002d44be6893d2c3afdfc8e7e13fd3646ce4d58489",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-01-18T01:46:39Z",
    "title_canon_sha256": "2df59f06306a4b82418c2b18e9bd49a8f06b269e213998d34b597eb143c59896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06055",
    "kind": "arxiv",
    "version": 1
  }
}