Pith Number

pith:P5OSD6IF

pith:2015:P5OSD6IFKIVXFYH4QQQRKEJCWW

not attested not anchored not stored refs pending

A simplicial complex of Nichols algebras

Michael Cuntz, Simon Lentner

arxiv:1503.08117 v2 · 2015-03-27 · 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{P5OSD6IFKIVXFYH4QQQRKEJCWW}

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	2026-05-18T01:15:00.979312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5d21f905522b72e0fc8421151122b59456aa78cd4ac1281e14b66137645b9c

Aliases

arxiv: 1503.08117 · arxiv_version: 1503.08117v2 · doi: 10.48550/arxiv.1503.08117 · pith_short_12: P5OSD6IFKIVX · pith_short_16: P5OSD6IFKIVXFYH4 · pith_short_8: P5OSD6IF

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/P5OSD6IFKIVXFYH4QQQRKEJCWW \
  | 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: 7f5d21f905522b72e0fc8421151122b59456aa78cd4ac1281e14b66137645b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ff992400ed68830723d87dbd571012ef122a6eef8bab43a7ed11f33201c03e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-03-27T16:01:41Z",
    "title_canon_sha256": "719f8f83328d97ab74e72d3094492c0cfd733b9f9583d4e7a2b0f9f71269de18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08117",
    "kind": "arxiv",
    "version": 2
  }
}