Pith Number

pith:OKTDQ2UR

pith:2024:OKTDQ2URNPNL5KK2L4RQQEE43Q

not attested not anchored not stored refs pending

Gray (skew) multicategories: double and Gray-categorical cases

Bojana Femi\'c

arxiv:2408.00561 v1 · 2024-08-01 · 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{OKTDQ2URNPNL5KK2L4RQQEE43Q}

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

Premonoidal and Kleisli double categories

Receipt and verification

First computed	2026-07-05T08:51:05.736135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a6386a916bdabea95a5f2308109cdc021de00117ec38db7659f166046a87ce

Aliases

arxiv: 2408.00561 · arxiv_version: 2408.00561v1 · doi: 10.48550/arxiv.2408.00561 · pith_short_12: OKTDQ2URNPNL · pith_short_16: OKTDQ2URNPNL5KK2 · pith_short_8: OKTDQ2UR

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/OKTDQ2URNPNL5KK2L4RQQEE43Q \
  | 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: 72a6386a916bdabea95a5f2308109cdc021de00117ec38db7659f166046a87ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72885e43f480eb0210c06e813dd3906fc560cb1ccea1eace585cf2a8d610f14c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-08-01T13:42:45Z",
    "title_canon_sha256": "1efd3472ed2b50b257cd6f246f2c81e6a385434672cbaa5e8ff9e8fcff991cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00561",
    "kind": "arxiv",
    "version": 1
  }
}