Pith Number

pith:5G36LIR4

pith:2022:5G36LIR4RJH5TSIOVYKEBRSK3R

not attested not anchored not stored refs pending

Braided Hopf algebras and gauge transformations

Chiara Pagani, Giovanni Landi, Paolo Aschieri

arxiv:2203.13811 v1 · 2022-03-25 · 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{5G36LIR4RJH5TSIOVYKEBRSK3R}

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	2026-07-05T04:08:36.442015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b7e5a23c8a4fd9c90eae1440c64adc7722a50aa2f679397de9c63a2513382a

Aliases

arxiv: 2203.13811 · arxiv_version: 2203.13811v1 · doi: 10.48550/arxiv.2203.13811 · pith_short_12: 5G36LIR4RJH5 · pith_short_16: 5G36LIR4RJH5TSIO · pith_short_8: 5G36LIR4

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/5G36LIR4RJH5TSIOVYKEBRSK3R \
  | 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: e9b7e5a23c8a4fd9c90eae1440c64adc7722a50aa2f679397de9c63a2513382a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ab9b6f0b9e5ed939e2e23f14b3e57581d809ae3d923ee875fb1766e1678e9c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-03-25T17:54:58Z",
    "title_canon_sha256": "07db225b5111b583256f967b5453a2d593a4ac1eb306c5436b5e32fd6e9f123a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13811",
    "kind": "arxiv",
    "version": 1
  }
}