Pith Number

pith:G3RPWFMM

pith:2019:G3RPWFMMK7B2YDGLVSM4FN6A5U

not attested not anchored not stored refs pending

On the whistle cobordism operation in string topology of classifying spaces

Katsuhiko Kuribayashi

arxiv:1903.09948 v2 · 2019-03-24 · 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{G3RPWFMMK7B2YDGLVSM4FN6A5U}

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	2026-05-17T23:49:32.691210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e2fb158c57c3ac0ccbac99c2b7c0ed062df21af9be27f0fe071f7eae6945cd

Aliases

arxiv: 1903.09948 · arxiv_version: 1903.09948v2 · doi: 10.48550/arxiv.1903.09948 · pith_short_12: G3RPWFMMK7B2 · pith_short_16: G3RPWFMMK7B2YDGL · pith_short_8: G3RPWFMM

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/G3RPWFMMK7B2YDGLVSM4FN6A5U \
  | 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: 36e2fb158c57c3ac0ccbac99c2b7c0ed062df21af9be27f0fe071f7eae6945cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7724b72ac77ced0b07fe2e7ca09ad32b9384e41580cdfd94bc0ff1551e15baf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-24T09:05:12Z",
    "title_canon_sha256": "8c41aef7df535f13c392b2ab790369518930c56f56826d1adf4e2e168e0a53f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09948",
    "kind": "arxiv",
    "version": 2
  }
}