Pith Number

pith:W2YB4VJG

pith:2025:W2YB4VJGKGFD5Q5RHIMACRAR7M

not attested not anchored not stored refs pending

Distinguishing closed 4-manifolds by slicing

Lisa Piccirillo, Tye Lidman

arxiv:2505.14387 v1 · 2025-05-20 · 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{W2YB4VJGKGFD5Q5RHIMACRAR7M}

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	2026-07-05T11:06:00.683806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b01e5526518a3ec3b13a18014411fb29392d799983667556d825f5fac15727

Aliases

arxiv: 2505.14387 · arxiv_version: 2505.14387v1 · doi: 10.48550/arxiv.2505.14387 · pith_short_12: W2YB4VJGKGFD · pith_short_16: W2YB4VJGKGFD5Q5R · pith_short_8: W2YB4VJG

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/W2YB4VJGKGFD5Q5RHIMACRAR7M \
  | 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: b6b01e5526518a3ec3b13a18014411fb29392d799983667556d825f5fac15727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da35047d28531832e104eca666fc8f5f80342d7c00a2021ff80e198373306732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-20T14:08:51Z",
    "title_canon_sha256": "31dd3802b251160157ed806a5824ea5de48e89972659ab2289f11a3691b657bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14387",
    "kind": "arxiv",
    "version": 1
  }
}