Pith Number

pith:FAPSGXSN

pith:2014:FAPSGXSNIVE7TLKSJDACIPNW67

not attested not anchored not stored refs pending

Presentation of affine Kac-Moody groups over rings

Daniel Allcock

arxiv:1409.0176 v3 · 2014-08-31 · 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{FAPSGXSNIVE7TLKSJDACIPNW67}

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	2026-05-18T01:12:08.786066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281f235e4d4549f9ad5248c0243db6f7e5f95ae864bb32f48ce4eb46b02dd62c

Aliases

arxiv: 1409.0176 · arxiv_version: 1409.0176v3 · doi: 10.48550/arxiv.1409.0176 · pith_short_12: FAPSGXSNIVE7 · pith_short_16: FAPSGXSNIVE7TLKS · pith_short_8: FAPSGXSN

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/FAPSGXSNIVE7TLKSJDACIPNW67 \
  | 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: 281f235e4d4549f9ad5248c0243db6f7e5f95ae864bb32f48ce4eb46b02dd62c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc31e83b19c6c307922e270bf3c53862855d8ab493310475eac960ea45176ecd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-31T02:09:42Z",
    "title_canon_sha256": "e4d61daae2fefcd8a465dc3fbc4e5435df8746eb86ad36df8d53cd76c7a245ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0176",
    "kind": "arxiv",
    "version": 3
  }
}