Pith Number

pith:UJMKIB5T

pith:2024:UJMKIB5THKCW6PLMPP65XRCLHL

not attested not anchored not stored refs pending

A net theoretic approach to homotopy theory

Renan Maneli Mezabarba, Rodrigo Santos Monteiro, Thales Fernando Vilamaior Paiva

arxiv:2410.18245 v2 · 2024-10-23 · math.AT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJMKIB5THKCW6PLMPP65XRCLHL}

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

Algebraic Topology Without Open Sets: A Net Approach to Homotopy Theory in Limit Spaces

Receipt and verification

First computed	2026-07-05T09:27:25.512196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a258a407b33a856f3d6c7bfddbc44b3afb9de5a828ece5ed0c7b3413bda02884

Aliases

arxiv: 2410.18245 · arxiv_version: 2410.18245v2 · doi: 10.48550/arxiv.2410.18245 · pith_short_12: UJMKIB5THKCW · pith_short_16: UJMKIB5THKCW6PLM · pith_short_8: UJMKIB5T

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/UJMKIB5THKCW6PLMPP65XRCLHL \
  | 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: a258a407b33a856f3d6c7bfddbc44b3afb9de5a828ece5ed0c7b3413bda02884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b7ca1ab305f137feffab15d8b5059387e4d168d07327641365931c9ed4290b",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-10-23T19:44:37Z",
    "title_canon_sha256": "1d36c67915932410c692e498046cbf3aee5d6167383f652ab9a4422b6e3e0671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.18245",
    "kind": "arxiv",
    "version": 2
  }
}