Pith Number

pith:W4Y4SXNW

pith:2017:W4Y4SXNWIBIESMU5K2DOOOPI4L

not attested not anchored not stored refs pending

The projective model structure on contractions

Chiara Spagnoli, Marco Manetti

arxiv:1703.03231 v1 · 2017-03-09 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4Y4SXNWIBIESMU5K2DOOOPI4L}

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	2026-05-18T00:49:01.021087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b731c95db6405049329d5686e739e8e2eae60ea7e57eb33416710029d85deb4a

Aliases

arxiv: 1703.03231 · arxiv_version: 1703.03231v1 · doi: 10.48550/arxiv.1703.03231 · pith_short_12: W4Y4SXNWIBIE · pith_short_16: W4Y4SXNWIBIESMU5 · pith_short_8: W4Y4SXNW

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/W4Y4SXNWIBIESMU5K2DOOOPI4L \
  | 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: b731c95db6405049329d5686e739e8e2eae60ea7e57eb33416710029d85deb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42ff9eb3c6cbb6932ff4587c41d2d73ce5101f991483959f49cf470455cfd07",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-09T11:29:25Z",
    "title_canon_sha256": "05f37277b68f66ef430e235d9c6fe6a89c07990bda07e7742af45a565cd93408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03231",
    "kind": "arxiv",
    "version": 1
  }
}