Pith Number

pith:V32WUSZ4

pith:2018:V32WUSZ4VNX3WRXHW3UILAM6TX

not attested not anchored not stored refs pending

Global homotopy theory

Stefan Schwede

arxiv:1802.09382 v1 · 2018-02-26 · 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{V32WUSZ4VNX3WRXHW3UILAM6TX}

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	2026-07-05T00:32:35.975693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef56a4b3cab6fbb46e7b6e885819e9de92d465a3350b5d607ede38caf42f3fe

Aliases

arxiv: 1802.09382 · arxiv_version: 1802.09382v1 · doi: 10.48550/arxiv.1802.09382 · pith_short_12: V32WUSZ4VNX3 · pith_short_16: V32WUSZ4VNX3WRXH · pith_short_8: V32WUSZ4

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/V32WUSZ4VNX3WRXHW3UILAM6TX \
  | 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: aef56a4b3cab6fbb46e7b6e885819e9de92d465a3350b5d607ede38caf42f3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1510af5d3d6b1c8423c7e01ecffc762d5e05ec5632c4d86b99456671e232350b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-02-26T15:12:35Z",
    "title_canon_sha256": "4b308ad81c07ac16d13e4fa179ba1b28006070252d560d696805f98cf5e07d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09382",
    "kind": "arxiv",
    "version": 1
  }
}