Pith Number

pith:KOT7K5PZ

pith:2014:KOT7K5PZZCPVUNAYCUOPEK7DLY

not attested not anchored not stored refs pending

Presentation of hyperbolic Kac-Moody groups over rings

Daniel Allcock, Lisa Carbone

arxiv:1409.5918 v2 · 2014-09-20 · math.GR · 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{KOT7K5PZZCPVUNAYCUOPEK7DLY}

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	2026-05-18T01:36:01.871544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a7f575f9c89f5a3418151cf22be35e353e182bfb77167ed65f8f749c4ef650

Aliases

arxiv: 1409.5918 · arxiv_version: 1409.5918v2 · doi: 10.48550/arxiv.1409.5918 · pith_short_12: KOT7K5PZZCPV · pith_short_16: KOT7K5PZZCPVUNAY · pith_short_8: KOT7K5PZ

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/KOT7K5PZZCPVUNAYCUOPEK7DLY \
  | 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: 53a7f575f9c89f5a3418151cf22be35e353e182bfb77167ed65f8f749c4ef650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca10fe2ed9e93825076923be9ee82470bca8e6a92c00310076979e736378f555",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-20T20:33:26Z",
    "title_canon_sha256": "040af3d2448f8cb54ddeb35633697f51fdf25f130ac64c90ea28bce627a5a785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5918",
    "kind": "arxiv",
    "version": 2
  }
}