Pith Number

pith:GIOEQ5YH

pith:2008:GIOEQ5YHQNYFK764ILFDLJE63G

not attested not anchored not stored refs pending

On Nichols algebras with standard braiding

Iv\'an Ezequiel Angiono

arxiv:0804.0816 v1 · 2008-04-04 · 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{GIOEQ5YHQNYFK764ILFDLJE63G}

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	2026-05-18T04:39:51.463702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321c4877078370557fdc42ca35a49ed9a98f41b16b6bea58065d0ed2079e27b0

Aliases

arxiv: 0804.0816 · arxiv_version: 0804.0816v1 · doi: 10.48550/arxiv.0804.0816 · pith_short_12: GIOEQ5YHQNYF · pith_short_16: GIOEQ5YHQNYFK764 · pith_short_8: GIOEQ5YH

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/GIOEQ5YHQNYFK764ILFDLJE63G \
  | 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: 321c4877078370557fdc42ca35a49ed9a98f41b16b6bea58065d0ed2079e27b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5eaea829ff3fc64414afee41882fa47d728c88b99a15e5f56d75b520c00bc78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-04-04T21:58:07Z",
    "title_canon_sha256": "764131b0e44fe8ba1b481a78d8a7234ee868fb4f7a4209ce40de7831f7aa0bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0816",
    "kind": "arxiv",
    "version": 1
  }
}