Pith Number

pith:NP6I43TU

pith:2026:NP6I43TUQS3TXWXJJYDDOQ3HWU

not attested not anchored not stored refs pending

Infinite families of very exotic spheres with free $S^1$- and $S^3$-actions

J.D. Quigley, Tilman Bauer

arxiv:2603.23241 v2 · 2026-03-24 · math.AT · 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{NP6I43TUQS3TXWXJJYDDOQ3HWU}

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	2026-06-23T03:13:56.610277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bfc8e6e7484b73bdae94e06374367b51186cdf1156df60e521ca419fa307859

Aliases

arxiv: 2603.23241 · arxiv_version: 2603.23241v2 · doi: 10.48550/arxiv.2603.23241 · pith_short_12: NP6I43TUQS3T · pith_short_16: NP6I43TUQS3TXWXJ · pith_short_8: NP6I43TU

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/NP6I43TUQS3TXWXJJYDDOQ3HWU \
  | 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: 6bfc8e6e7484b73bdae94e06374367b51186cdf1156df60e521ca419fa307859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04229cf648e7d53b0fe10bd866aba5e88a44130887debdcc41fbd382ded6ffac",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-03-24T14:11:23Z",
    "title_canon_sha256": "13bcda41dfb0c688caa23728701d53484577fe6afcb1c880c1ef8683eec505b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.23241",
    "kind": "arxiv",
    "version": 2
  }
}