Pith Number

pith:3ZCPR7GW

pith:2011:3ZCPR7GWWKF6IKGWJUFVKHX7A3

not attested not anchored not stored refs pending

$\gamma_{o}$-Compacr $\gamma^{s}$-Regular and $\gamma^{s}$-Normal Spaces

Bashir Ahmad, Sabir Hussain

arxiv:1105.1522 v1 · 2011-05-08 · 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{3ZCPR7GWWKF6IKGWJUFVKHX7A3}

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	2026-05-18T04:22:39.275479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de44f8fcd6b28be428d64d0b551eff06cc7603bf0ea7b3ca34c76991ee75d715

Aliases

arxiv: 1105.1522 · arxiv_version: 1105.1522v1 · doi: 10.48550/arxiv.1105.1522 · pith_short_12: 3ZCPR7GWWKF6 · pith_short_16: 3ZCPR7GWWKF6IKGW · pith_short_8: 3ZCPR7GW

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/3ZCPR7GWWKF6IKGWJUFVKHX7A3 \
  | 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: de44f8fcd6b28be428d64d0b551eff06cc7603bf0ea7b3ca34c76991ee75d715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21fc14840452e869c5fcd51fd8271810a64da2b826d79f460ae152ee6667507a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-05-08T14:14:17Z",
    "title_canon_sha256": "ff23b0cb7003d5e9cf469ee3ed3f519034e40a5f48bbd559e2bd4d0a575a2337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1522",
    "kind": "arxiv",
    "version": 1
  }
}