Pith Number

pith:TO2UNB5S

pith:2023:TO2UNB5SB3PNKCWPIIG57Q3PMQ

not attested not anchored not stored refs pending

Hopf Monads on Biproducts

Jean-Simon Pacaud Lemay, Masahito Hasegawa

arxiv:2305.16667 v2 · 2023-05-26 · 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{TO2UNB5SB3PNKCWPIIG57Q3PMQ}

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	2026-07-05T06:49:42.895432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb54687b20eded50acf420ddfc36f642f26c5ae2aaec3a8f4dcbb74321f12dd

Aliases

arxiv: 2305.16667 · arxiv_version: 2305.16667v2 · doi: 10.48550/arxiv.2305.16667 · pith_short_12: TO2UNB5SB3PN · pith_short_16: TO2UNB5SB3PNKCWP · pith_short_8: TO2UNB5S

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/TO2UNB5SB3PNKCWPIIG57Q3PMQ \
  | 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: 9bb54687b20eded50acf420ddfc36f642f26c5ae2aaec3a8f4dcbb74321f12dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6cc9f1aab02687077a46006a605f830de8093147b3f1f608e943071fe917f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-05-26T06:31:37Z",
    "title_canon_sha256": "c55e5ac3fd3ae58c785cb6184aad981d023a7484a6a871bb4693d11faddd9ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16667",
    "kind": "arxiv",
    "version": 2
  }
}