Pith Number

pith:XFFQWLF4

pith:2022:XFFQWLF4QUMHOSGKWGV5SEQ3ZF

not attested not anchored not stored refs pending

Braided Hopf algebras and gauge transformations II: $*$-structures and examples

Chiara Pagani, Giovanni Landi, Paolo Aschieri

arxiv:2211.02986 v1 · 2022-11-05 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFFQWLF4QUMHOSGKWGV5SEQ3ZF}

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	2026-07-05T06:12:38.729955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94b0b2cbc85187748cab1abd9121bc963797a0d7bd0f4e62de6bcb72e99cb4f

Aliases

arxiv: 2211.02986 · arxiv_version: 2211.02986v1 · doi: 10.48550/arxiv.2211.02986 · pith_short_12: XFFQWLF4QUMH · pith_short_16: XFFQWLF4QUMHOSGK · pith_short_8: XFFQWLF4

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/XFFQWLF4QUMHOSGKWGV5SEQ3ZF \
  | 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: b94b0b2cbc85187748cab1abd9121bc963797a0d7bd0f4e62de6bcb72e99cb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f128bae0c2f3f1c32e5f01f2478543b7da141e062511c3c230765bba602189a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-11-05T22:22:16Z",
    "title_canon_sha256": "5f071fd1ebb54d2e5ed0a5b26546610fe8bf9d345c3048e2fec13f6cd950c656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02986",
    "kind": "arxiv",
    "version": 1
  }
}