Pith Number

pith:TV5F2W7R

pith:2025:TV5F2W7R5ZVS3YCY7VILSV7SHT

not attested not anchored not stored refs pending

Involutive Weak Cubical $\omega$-categories

Paolo Bertozzini, Paratat Bejrakarbum, Supaporn Theesoongnern

arxiv:2505.13850 v1 · 2025-05-20 · 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{TV5F2W7R5ZVS3YCY7VILSV7SHT}

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	2026-07-05T12:00:01.267655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7a5d5bf1ee6b2de058fd50b957f23cdc67c9429fa722a61f3337f4648a1ad3

Aliases

arxiv: 2505.13850 · arxiv_version: 2505.13850v1 · doi: 10.48550/arxiv.2505.13850 · pith_short_12: TV5F2W7R5ZVS · pith_short_16: TV5F2W7R5ZVS3YCY · pith_short_8: TV5F2W7R

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/TV5F2W7R5ZVS3YCY7VILSV7SHT \
  | 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: 9d7a5d5bf1ee6b2de058fd50b957f23cdc67c9429fa722a61f3337f4648a1ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f73315506d7567e592ae09d286d8656cdb27727f6a8056de08da52ad0d1faa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-05-20T02:49:27Z",
    "title_canon_sha256": "dbd30b1d33389544d9418685dc8bc98334dfc2444bf10982548006e6a461d2d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13850",
    "kind": "arxiv",
    "version": 1
  }
}