Pith Number

pith:4YODXLCC

pith:2010:4YODXLCCZPZ2ZM33XRJMX6I6QG

not attested not anchored not stored refs pending

On Nichols algebras associated to simple racks

F. Fantino, G. A. Garcia, L. Vendramin, N. Andruskiewitsch

arxiv:1006.5727 v2 · 2010-06-29 · 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{4YODXLCCZPZ2ZM33XRJMX6I6QG}

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	2026-05-18T04:26:23.327443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61c3bac42cbf3acb37bbc52cbf91e81b627c9e54dc2091ca6da5ec15e4d31b7

Aliases

arxiv: 1006.5727 · arxiv_version: 1006.5727v2 · doi: 10.48550/arxiv.1006.5727 · pith_short_12: 4YODXLCCZPZ2 · pith_short_16: 4YODXLCCZPZ2ZM33 · pith_short_8: 4YODXLCC

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/4YODXLCCZPZ2ZM33XRJMX6I6QG \
  | 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: e61c3bac42cbf3acb37bbc52cbf91e81b627c9e54dc2091ca6da5ec15e4d31b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19cf261ab04573f97f782f717197d9b920bc7642589001c8bb6d372471ef504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-06-29T20:53:50Z",
    "title_canon_sha256": "72848a3b3998545fa628f4976f6bc598c0c6da907b06f87a34382f5155540eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5727",
    "kind": "arxiv",
    "version": 2
  }
}