Pith Number

pith:P4GR4HJT

pith:2017:P4GR4HJTVCQ7QIYUTVCWG36IDI

not attested not anchored not stored refs pending

Involutive Weak Globular Higher Categories

Paolo Bertozzini, Paratat Bejrakarbum

arxiv:1709.09336 v1 · 2017-09-27 · 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{P4GR4HJTVCQ7QIYUTVCWG36IDI}

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.

Cited by

1 paper in Pith

Involutive Weak Cubical $\omega$-categories

Receipt and verification

First computed	2026-05-18T00:34:12.150010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0d1e1d33a8a1f823149d45636fc81a03e73aa6e5ab48e592e6317a2e3f7957

Aliases

arxiv: 1709.09336 · arxiv_version: 1709.09336v1 · doi: 10.48550/arxiv.1709.09336 · pith_short_12: P4GR4HJTVCQ7 · pith_short_16: P4GR4HJTVCQ7QIYU · pith_short_8: P4GR4HJT

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/P4GR4HJTVCQ7QIYUTVCWG36IDI \
  | 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: 7f0d1e1d33a8a1f823149d45636fc81a03e73aa6e5ab48e592e6317a2e3f7957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8fec44b29f420e8b00049bc0ea1025b3768729c07f8aca71e2e5e788af1b806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-09-27T05:11:36Z",
    "title_canon_sha256": "65eb36c2756874f3b0e2b6c73d9a90616ed818f7fbbe02d1550dc0f4d1a9f576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09336",
    "kind": "arxiv",
    "version": 1
  }
}