Pith Number

pith:N3DWJXBQ

pith:2024:N3DWJXBQVO52PI7ACO6GXWBF4D

not attested not anchored not stored refs pending

BNSR invariants and $\ell^2$-homology

Dawid Kielak, Sam Hughes

arxiv:2401.05545 v1 · 2024-01-10 · math.GT · math.AT · math.FA · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3DWJXBQVO52PI7ACO6GXWBF4D}

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

Some closed manifolds that do not fibre over the circle

Receipt and verification

First computed	2026-07-05T07:32:31.827361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec764dc30abbba7a3e013bc6bd825e0d8bf7d4589c7974cdbdd949382d5d3aa

Aliases

arxiv: 2401.05545 · arxiv_version: 2401.05545v1 · doi: 10.48550/arxiv.2401.05545 · pith_short_12: N3DWJXBQVO52 · pith_short_16: N3DWJXBQVO52PI7A · pith_short_8: N3DWJXBQ

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/N3DWJXBQVO52PI7ACO6GXWBF4D \
  | 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: 6ec764dc30abbba7a3e013bc6bd825e0d8bf7d4589c7974cdbdd949382d5d3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7ebbb4ff9babd7265a9cdb0fe9b904a3e1331127c6e712e84942bcbfc6fdc1",
    "cross_cats_sorted": [
      "math.AT",
      "math.FA",
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-01-10T20:59:13Z",
    "title_canon_sha256": "b047fdb77702cc7ff067b9f3f2444354d97753ef81987f2d2d6d74d0ef8fe83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.05545",
    "kind": "arxiv",
    "version": 1
  }
}