Pith Number

pith:N3WJGNBB

pith:2016:N3WJGNBB4UTA4Z3NGKUYWY2R7B

not attested not anchored not stored refs pending

The bv algebra in string topology of classifying spaces

Katsuhiko Kuribayashi, Luc Menichi (LAREMA)

arxiv:1610.03970 v1 · 2016-10-13 · math.AT · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3WJGNBB4UTA4Z3NGKUYWY2R7B}

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	2026-05-18T01:02:22.837942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eec933421e5260e676d32a98b6351f8645b4a7e9080ea17c89e710d610db005

Aliases

arxiv: 1610.03970 · arxiv_version: 1610.03970v1 · doi: 10.48550/arxiv.1610.03970 · pith_short_12: N3WJGNBB4UTA · pith_short_16: N3WJGNBB4UTA4Z3N · pith_short_8: N3WJGNBB

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/N3WJGNBB4UTA4Z3NGKUYWY2R7B \
  | 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: 6eec933421e5260e676d32a98b6351f8645b4a7e9080ea17c89e710d610db005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21baf971633249c05b7ddad9230bb7db32b659c57c48f3326f3271900f599225",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-10-13T08:17:38Z",
    "title_canon_sha256": "9161bcdbbcf174357d396ab4512ef2bb4ff9a9de1cb54d98f7e77a05b2cc1421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03970",
    "kind": "arxiv",
    "version": 1
  }
}