Pith Number

pith:7OSRIDDS

pith:2018:7OSRIDDSNJVJ6VG6CM6SJCGOWJ

not attested not anchored not stored refs pending

The homotopy relation in a category with weak equivalences

Martin Szyld

arxiv:1804.04244 v1 · 2018-04-11 · math.CT · 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{7OSRIDDSNJVJ6VG6CM6SJCGOWJ}

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	2026-05-18T00:18:40.255045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba5140c726a6a9f54de133d2488ceb2625f59de46e777467c7dd2d278d0fa49

Aliases

arxiv: 1804.04244 · arxiv_version: 1804.04244v1 · doi: 10.48550/arxiv.1804.04244 · pith_short_12: 7OSRIDDSNJVJ · pith_short_16: 7OSRIDDSNJVJ6VG6 · pith_short_8: 7OSRIDDS

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/7OSRIDDSNJVJ6VG6CM6SJCGOWJ \
  | 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: fba5140c726a6a9f54de133d2488ceb2625f59de46e777467c7dd2d278d0fa49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4d6a2d0f87e294d8231fe362cd2317fd2015f428a2c6af3c32fd909cd65eb4",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-04-11T22:12:05Z",
    "title_canon_sha256": "e15e400eda1ae7ca068c26bb6ccb4509704d98392ba6337883557c384d34bfdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04244",
    "kind": "arxiv",
    "version": 1
  }
}