Pith Number

pith:LCAT6ZBH

pith:2018:LCAT6ZBHFD2RAYVL7P234S73AM

not attested not anchored not stored refs pending

Closed sets of real roots in Kac-Moody root systems

Pierre-Emmanuel Caprace, Timoth\'ee Marquis

arxiv:1810.05114 v2 · 2018-10-11 · math.RA · 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{LCAT6ZBHFD2RAYVL7P234S73AM}

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	2026-05-18T00:03:14.376767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58813f642728f51062abfbf5be4bfb0307dabf528169fbdd76f428937d88cc4b

Aliases

arxiv: 1810.05114 · arxiv_version: 1810.05114v2 · doi: 10.48550/arxiv.1810.05114 · pith_short_12: LCAT6ZBHFD2R · pith_short_16: LCAT6ZBHFD2RAYVL · pith_short_8: LCAT6ZBH

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/LCAT6ZBHFD2RAYVL7P234S73AM \
  | 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: 58813f642728f51062abfbf5be4bfb0307dabf528169fbdd76f428937d88cc4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47eb4a4f0ea98615cc126451fd8c44268c02ada9297436e7c8de6fef0c3ece7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-10-11T16:31:08Z",
    "title_canon_sha256": "a2bc6148422a48523f9586477356d394353dd48292297e68f5ba255df8f78420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05114",
    "kind": "arxiv",
    "version": 2
  }
}