Pith Number

pith:OA26IVYY

pith:2011:OA26IVYYH7D2NZIQK5R7KWKPJS

not attested not anchored not stored refs pending

Loop spaces, and coherence for monoidal and braided monoidal bicategories

Nick Gurski

arxiv:1102.0981 v1 · 2011-02-04 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OA26IVYYH7D2NZIQK5R7KWKPJS}

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	2026-05-18T04:30:03.295533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7035e457183fc7a6e5105763f5594f4cb483a06c45ca2c63c393718733004c6d

Aliases

arxiv: 1102.0981 · arxiv_version: 1102.0981v1 · doi: 10.48550/arxiv.1102.0981 · pith_short_12: OA26IVYYH7D2 · pith_short_16: OA26IVYYH7D2NZIQ · pith_short_8: OA26IVYY

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/OA26IVYYH7D2NZIQK5R7KWKPJS \
  | 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: 7035e457183fc7a6e5105763f5594f4cb483a06c45ca2c63c393718733004c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc46dbd1ba2571c7ffed457da97240955a87b5504308b43943e82aa38e54dc23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-02-04T17:46:20Z",
    "title_canon_sha256": "d8deb76fae20d731d89d6e4063a6e63fe1b306f064dca88bc177731d97e27d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0981",
    "kind": "arxiv",
    "version": 1
  }
}