Pith Number

pith:XT3HBUWV

pith:2024:XT3HBUWVGWJZ2SX76ODY7Z3BII

not attested not anchored not stored refs pending

Nil 3-manifolds and cusps of complex hyperbolic surfaces

Connor Sell, Julien Paupert

arxiv:2411.15345 v1 · 2024-11-22 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XT3HBUWVGWJZ2SX76ODY7Z3BII}

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	2026-07-05T09:41:04.185915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf670d2d535939d4afff3878fe7614214afce19a6736845036fa027d704b8b2

Aliases

arxiv: 2411.15345 · arxiv_version: 2411.15345v1 · doi: 10.48550/arxiv.2411.15345 · pith_short_12: XT3HBUWVGWJZ · pith_short_16: XT3HBUWVGWJZ2SX7 · pith_short_8: XT3HBUWV

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/XT3HBUWVGWJZ2SX76ODY7Z3BII \
  | 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: bcf670d2d535939d4afff3878fe7614214afce19a6736845036fa027d704b8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545ef043db3be5aea6ce093989fe82cd69aa524b59dc735176fe46119b2eb104",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-22T20:57:44Z",
    "title_canon_sha256": "73dda0f793b84a60498175beca69a7653c96be8aac02fdd316fb6df6ed653e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15345",
    "kind": "arxiv",
    "version": 1
  }
}