Pith Number

pith:6ATCH7XR

pith:2018:6ATCH7XRPIKLHEZCDO6IWE2ONM

not attested not anchored not stored refs pending

Universal KZB Equations for arbitrary root systems

Valerio Toledano-Laredo, Yaping Yang

arxiv:1801.10259 v1 · 2018-01-31 · math.AT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ATCH7XRPIKLHEZCDO6IWE2ONM}

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	2026-05-18T00:24:41.318285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02623fef17a14b393221bbc8b134e6b211e60f152ce605100aea932339c2670

Aliases

arxiv: 1801.10259 · arxiv_version: 1801.10259v1 · doi: 10.48550/arxiv.1801.10259 · pith_short_12: 6ATCH7XRPIKL · pith_short_16: 6ATCH7XRPIKLHEZC · pith_short_8: 6ATCH7XR

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/6ATCH7XRPIKLHEZCDO6IWE2ONM \
  | 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: f02623fef17a14b393221bbc8b134e6b211e60f152ce605100aea932339c2670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfe1cdd9ebe43f29cc5d659aea21b694d1ba35e9cf06f916a48071763ce7f1ff",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-31T00:48:57Z",
    "title_canon_sha256": "4dc37107aed7ee6d1dfb0e66b128783387520f7f5ab48847d7319436f3006473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10259",
    "kind": "arxiv",
    "version": 1
  }
}