Pith Number

pith:CP4MCJN4

pith:2023:CP4MCJN47JB6XA3UDWT3FXMNAE

not attested not anchored not stored refs pending

Internal Hopf algebroid

Martina Stoji\'c

arxiv:2308.14546 v1 · 2023-08-28 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP4MCJN47JB6XA3UDWT3FXMNAE}

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

Examples of scalar extension Hopf algebroids over a universal enveloping algebra

Receipt and verification

First computed	2026-07-05T06:45:27.590698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f8c125bcfa43eb83741da7b2dd8d013c01f8ef9aec22be1704a5420dc70955

Aliases

arxiv: 2308.14546 · arxiv_version: 2308.14546v1 · doi: 10.48550/arxiv.2308.14546 · pith_short_12: CP4MCJN47JB6 · pith_short_16: CP4MCJN47JB6XA3U · pith_short_8: CP4MCJN4

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/CP4MCJN47JB6XA3UDWT3FXMNAE \
  | 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: 13f8c125bcfa43eb83741da7b2dd8d013c01f8ef9aec22be1704a5420dc70955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ec60984b7d9abf7e3042dc55bbc886b20a4a31cb54b07d82533bf0b539ea45",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-08-28T13:04:42Z",
    "title_canon_sha256": "4ef4b8ebd36fdb67278c0f6fff2d31b1fc7d4b7d2a64988119a198ae22841c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.14546",
    "kind": "arxiv",
    "version": 1
  }
}