Pith Number

pith:ZPQ5PPKT

pith:2018:ZPQ5PPKTYBV3B3SKCNX4UYK7SG

not attested not anchored not stored refs pending

Free immersions and panelled web 4-manifolds

Mustafa Kalafat

arxiv:1810.09023 v1 · 2018-10-21 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPQ5PPKTYBV3B3SKCNX4UYK7SG}

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	2026-05-17T23:49:03.201104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe1d7bd53c06bb0ee4a136fca615f91b961f481efcf8eaa4ae30fe5dddb650d

Aliases

arxiv: 1810.09023 · arxiv_version: 1810.09023v1 · doi: 10.48550/arxiv.1810.09023 · pith_short_12: ZPQ5PPKTYBV3 · pith_short_16: ZPQ5PPKTYBV3B3SK · pith_short_8: ZPQ5PPKT

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/ZPQ5PPKTYBV3B3SKCNX4UYK7SG \
  | 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: cbe1d7bd53c06bb0ee4a136fca615f91b961f481efcf8eaa4ae30fe5dddb650d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4df08cb273262e8a9c91df7700454c264ec333811a9b0869cd15d16cd17540",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-21T20:40:13Z",
    "title_canon_sha256": "b85befbb9f3e9a88a700679cd875c558e3f2df0ee89eb135c2b7cf614a59142e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09023",
    "kind": "arxiv",
    "version": 1
  }
}