Pith Number

pith:7UGPPFLC

pith:2025:7UGPPFLC7BR6QOJRATMAUKEEIL

not attested not anchored not stored refs pending

Homotopy Type of the Space of Fibrations of the Three-sphere by Simple Closed Curves

Dennis DeTurck, Herman Gluck, Jingye Yang, Leandro Lichtenfelz, Mona Merling, Yi Wang, Ziqi Fang

arxiv:2508.01185 v1 · 2025-08-02 · math.GT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UGPPFLC7BR6QOJRATMAUKEEIL}

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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

On Topology of the Infinite-Dimensional Space of Fibrations

Receipt and verification

First computed	2026-07-05T11:47:34.401006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0cf79562f863e8393104d80a288442e8fc20f48c094db721a06fa2f27da48c

Aliases

arxiv: 2508.01185 · arxiv_version: 2508.01185v1 · doi: 10.48550/arxiv.2508.01185 · pith_short_12: 7UGPPFLC7BR6 · pith_short_16: 7UGPPFLC7BR6QOJR · pith_short_8: 7UGPPFLC

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/7UGPPFLC7BR6QOJRATMAUKEEIL \
  | 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: fd0cf79562f863e8393104d80a288442e8fc20f48c094db721a06fa2f27da48c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bece84fed08bdeb03a086afbb8b904a6eef04e8965a8b54013ed0a8c6ee9b123",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-02T04:14:27Z",
    "title_canon_sha256": "e0d3d3f1eb0219eefb004552e779012535078c817c3c369a701631d2fb51e495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01185",
    "kind": "arxiv",
    "version": 1
  }
}