Pith Number

pith:AP6PW3RX

pith:2022:AP6PW3RX5JCRRPL6DE2ZQ4NEZ4

not attested not anchored not stored refs pending

Cofibration and Model Category Structures for Discrete and Continuous Homotopy

Antonio Rieser

arxiv:2209.13510 v2 · 2022-09-27 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AP6PW3RX5JCRRPL6DE2ZQ4NEZ4}

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	2026-07-05T05:02:14.241427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03fcfb6e37ea4518bd7e19359871a4cf3cdee34149fad897c753cbce6976c922

Aliases

arxiv: 2209.13510 · arxiv_version: 2209.13510v2 · doi: 10.48550/arxiv.2209.13510 · pith_short_12: AP6PW3RX5JCR · pith_short_16: AP6PW3RX5JCRRPL6 · pith_short_8: AP6PW3RX

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/AP6PW3RX5JCRRPL6DE2ZQ4NEZ4 \
  | 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: 03fcfb6e37ea4518bd7e19359871a4cf3cdee34149fad897c753cbce6976c922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0f8b1b42469c522bcd830a6fbc1572aa170df2b87756d7fee6fc28498365d9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-09-27T16:28:17Z",
    "title_canon_sha256": "2175b663303e4d60c1185ea04c3f4de4176c81a4ad41586e06261381313bafad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13510",
    "kind": "arxiv",
    "version": 2
  }
}