Pith Number

pith:X6ZPFJKZ

pith:2016:X6ZPFJKZJA4CYXLLFSTWYHBKYY

not attested not anchored not stored refs pending

Chip firing on Dynkin diagrams and McKay quivers

Caroline Klivans, Georgia Benkart, Victor Reiner

arxiv:1601.06849 v2 · 2016-01-25 · math.CO · 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{X6ZPFJKZJA4CYXLLFSTWYHBKYY}

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	2026-05-18T01:19:53.062633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb2f2a55948382c5d6b2ca76c1c2ac6117eabb02d1dca62cfbfb42c1d33c6a9

Aliases

arxiv: 1601.06849 · arxiv_version: 1601.06849v2 · doi: 10.48550/arxiv.1601.06849 · pith_short_12: X6ZPFJKZJA4C · pith_short_16: X6ZPFJKZJA4CYXLL · pith_short_8: X6ZPFJKZ

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/X6ZPFJKZJA4CYXLLFSTWYHBKYY \
  | 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: bfb2f2a55948382c5d6b2ca76c1c2ac6117eabb02d1dca62cfbfb42c1d33c6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7d34ac769ef81bf70f59644937844e323491170559559a4091dd1cb40cb019",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-25T23:42:27Z",
    "title_canon_sha256": "8edb88dc3cb2bc1b9a486a5e524d81ff27d04141de9df88f0b0ea695439b870f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06849",
    "kind": "arxiv",
    "version": 2
  }
}