Pith Number

pith:IZMKDD6O

pith:2024:IZMKDD6O3DUIAW7A4IALKDZD26

not attested not anchored not stored refs pending

Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds

Yang Su, Yi Jiang

arxiv:2409.03194 v1 · 2024-09-05 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZMKDD6O3DUIAW7A4IALKDZD26}

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

Smooth manifolds homotopy equivalent to products of spheres

Receipt and verification

First computed	2026-07-05T11:23:07.189716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4658a18fced8e8805be0e200b50f23d7b2f51b7abeffdcfb59fac8d1dcd15a3e

Aliases

arxiv: 2409.03194 · arxiv_version: 2409.03194v1 · doi: 10.48550/arxiv.2409.03194 · pith_short_12: IZMKDD6O3DUI · pith_short_16: IZMKDD6O3DUIAW7A · pith_short_8: IZMKDD6O

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/IZMKDD6O3DUIAW7A4IALKDZD26 \
  | 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: 4658a18fced8e8805be0e200b50f23d7b2f51b7abeffdcfb59fac8d1dcd15a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947c152cec718efaed60c8b41bea1192109f0c0a9336cd3dc1f65c15e8daf3b4",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-05T02:34:25Z",
    "title_canon_sha256": "4d112a0ee5c80af14e5633745f6e19a513f6c03deaad64e154d530c43ad11d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03194",
    "kind": "arxiv",
    "version": 1
  }
}