Pith Number

pith:HHDIW5HQ

pith:2012:HHDIW5HQ6YAWETONI6TUPRVEHF

not attested not anchored not stored refs pending

Skew-monoidal categories and bialgebroids

Kornel Szlachanyi

arxiv:1201.4981 v2 · 2012-01-24 · math.QA · 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{HHDIW5HQ6YAWETONI6TUPRVEHF}

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	2026-05-18T03:46:45.318393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c68b74f0f601624dcd47a747c6a439602e92266cb92d3f050b0f51fa9f6c8f

Aliases

arxiv: 1201.4981 · arxiv_version: 1201.4981v2 · doi: 10.48550/arxiv.1201.4981 · pith_short_12: HHDIW5HQ6YAW · pith_short_16: HHDIW5HQ6YAWETON · pith_short_8: HHDIW5HQ

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/HHDIW5HQ6YAWETONI6TUPRVEHF \
  | 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: 39c68b74f0f601624dcd47a747c6a439602e92266cb92d3f050b0f51fa9f6c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9ec2acc5588376b4ddfc54a5e316fd1abdf59324b09608677da7af94b5b01c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-24T14:12:05Z",
    "title_canon_sha256": "e1d80f39e2d1bfcf8db20cbef093bb594b9833228fc597b72bcf7383fba7aea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4981",
    "kind": "arxiv",
    "version": 2
  }
}