Pith Number

pith:W3AJNKVD

pith:2019:W3AJNKVDMNGFPLIBZBX3DV45PZ

not attested not anchored not stored refs pending

A small closed convex projective 4-manifold via Dehn filling

Gye-Seon Lee, Ludovic Marquis, Stefano Riolo

arxiv:1910.11649 v3 · 2019-10-25 · 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{W3AJNKVDMNGFPLIBZBX3DV45PZ}

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.

Cited by

1 paper in Pith

Geometric transition from hyperbolic to anti-de Sitter structures in dimension four

Receipt and verification

First computed	2026-07-05T03:43:24.295291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c096aaa3634c57ad01c86fb1d79d7e4c77017b10c9cbe9a891d613a9789b45

Aliases

arxiv: 1910.11649 · arxiv_version: 1910.11649v3 · doi: 10.48550/arxiv.1910.11649 · pith_short_12: W3AJNKVDMNGF · pith_short_16: W3AJNKVDMNGFPLIB · pith_short_8: W3AJNKVD

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/W3AJNKVDMNGFPLIBZBX3DV45PZ \
  | 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: b6c096aaa3634c57ad01c86fb1d79d7e4c77017b10c9cbe9a891d613a9789b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840015bc62cd8378964d72da1501380697cdc5ee67b11fa0541d57e62b887cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-10-25T12:24:10Z",
    "title_canon_sha256": "b566c9f332fec530d4585ad8ffebfc4a89a1ff94a5c6cc0dd407f45daae41db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11649",
    "kind": "arxiv",
    "version": 3
  }
}