Pith Number

pith:B4X72ZY5

pith:2004:B4X72ZY5ITTX7GLKJCQ7U2VRMQ

not attested not anchored not stored refs pending

Countable dense homogeneity of definable spaces

Beatriz Zamora Aviles, Michael Hrusak

arxiv:math/0402442 v1 · 2004-02-26 · 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{B4X72ZY5ITTX7GLKJCQ7U2VRMQ}

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	2026-05-18T03:10:58.848518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2ffd671d44e77f996a48a1fa6ab1640feb528d29e18a0b30b19e9f20e17b1d

Aliases

arxiv: math/0402442 · arxiv_version: math/0402442v1 · doi: 10.48550/arxiv.math/0402442 · pith_short_12: B4X72ZY5ITTX · pith_short_16: B4X72ZY5ITTX7GLK · pith_short_8: B4X72ZY5

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/B4X72ZY5ITTX7GLKJCQ7U2VRMQ \
  | 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: 0f2ffd671d44e77f996a48a1fa6ab1640feb528d29e18a0b30b19e9f20e17b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e04845a2e8d9b8d372a32603d8c38aa52083f50e0e1fccb530c48f63a5ca1d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2004-02-26T22:22:50Z",
    "title_canon_sha256": "907465e466508b6a77c0409eed4fe58f5817ff541e8d71e51ea7df80e9fa6e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402442",
    "kind": "arxiv",
    "version": 1
  }
}