Pith Number

pith:VH7NH2NF

pith:2018:VH7NH2NFZNHLRDQZFCFBIQ5PPL

not attested not anchored not stored refs pending

Weak partial $b$-metric space and Nadler's theorem

Azhar Hussain, Tanzeela Kanwal

arxiv:1811.07313 v1 · 2018-11-18 · 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{VH7NH2NFZNHLRDQZFCFBIQ5PPL}

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	2026-05-18T00:00:28.312912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fed3e9a5cb4eb88e19288a1443af7ad75df060994a0028175b512bb9ef0ca8

Aliases

arxiv: 1811.07313 · arxiv_version: 1811.07313v1 · doi: 10.48550/arxiv.1811.07313 · pith_short_12: VH7NH2NFZNHL · pith_short_16: VH7NH2NFZNHLRDQZ · pith_short_8: VH7NH2NF

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/VH7NH2NFZNHLRDQZFCFBIQ5PPL \
  | 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: a9fed3e9a5cb4eb88e19288a1443af7ad75df060994a0028175b512bb9ef0ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b93abdeae30bea9fb10cdbc29b443398d676494f366ff3085974d599843f662",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-11-18T10:50:27Z",
    "title_canon_sha256": "f1cee6edcea158e461416070a93f6ae60fcf16c6c2d350dc41e246bdc1c3aeb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07313",
    "kind": "arxiv",
    "version": 1
  }
}