Pith Number

pith:2BVHQG4F

pith:2015:2BVHQG4F35UR2ZVMIAUOEUE37B

not attested not anchored not stored refs pending

Uniqueness of Coxeter structures on Kac-Moody algebras

Andrea Appel, Valerio Toledano-Laredo

arxiv:1508.01945 v5 · 2015-08-08 · math.QA · math.CT · 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{2BVHQG4F35UR2ZVMIAUOEUE37B}

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	2026-05-17T23:52:56.462408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06a781b85df691d66ac4028e2509bf84d1d03efb18a8471d224cf3973f7d1a0

Aliases

arxiv: 1508.01945 · arxiv_version: 1508.01945v5 · doi: 10.48550/arxiv.1508.01945 · pith_short_12: 2BVHQG4F35UR · pith_short_16: 2BVHQG4F35UR2ZVM · pith_short_8: 2BVHQG4F

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/2BVHQG4F35UR2ZVMIAUOEUE37B \
  | 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: d06a781b85df691d66ac4028e2509bf84d1d03efb18a8471d224cf3973f7d1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841aa7b2a5754265a910a360c494f2b4a20338feabe20af78d19fac85c750330",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-08-08T18:48:01Z",
    "title_canon_sha256": "33b5dddb59eb265a3af569dd706d83e4f4519e3637605ba97c58256572063387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01945",
    "kind": "arxiv",
    "version": 5
  }
}