Pith Number

pith:R3W5HRUS

pith:2014:R3W5HRUSADMUFOIRYCLMWPBRAF

not attested not anchored not stored refs pending

Vertexwise criteria for admissibility of alcoves

Thomas J. Haines, Xuhua He

arxiv:1411.5450 v2 · 2014-11-20 · math.RT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3W5HRUSADMUFOIRYCLMWPBRAF}

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	2026-05-18T00:42:49.188491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eedd3c69200d942b911c096cb3c3101448a04743526572233106ffe804b3c57

Aliases

arxiv: 1411.5450 · arxiv_version: 1411.5450v2 · doi: 10.48550/arxiv.1411.5450 · pith_short_12: R3W5HRUSADMU · pith_short_16: R3W5HRUSADMUFOIR · pith_short_8: R3W5HRUS

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/R3W5HRUSADMUFOIRYCLMWPBRAF \
  | 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: 8eedd3c69200d942b911c096cb3c3101448a04743526572233106ffe804b3c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c543fa5761f4ea9cdd189113736cef744b5445cbeda97c62e75f24077a531b37",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-11-20T06:11:20Z",
    "title_canon_sha256": "bfbb5ec7744e3f50897b03971f5d60a1af89145561d9dcb918ec2fbd3d55a03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5450",
    "kind": "arxiv",
    "version": 2
  }
}