Pith Number

pith:HJWT6RZF

pith:2017:HJWT6RZFOFNV2WLOE43ZSRWM7F

not attested not anchored not stored refs pending

Borcherds-Bozec algebras, root multiplicities and the Schofield construction

Seok-Jin Kang

arxiv:1709.10234 v3 · 2017-09-29 · 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{HJWT6RZFOFNV2WLOE43ZSRWM7F}

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	2026-05-18T00:13:37.687385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6d3f4725715b5d596e27379946ccf9533a2bb40ad1995bf7a763d5a15f8898

Aliases

arxiv: 1709.10234 · arxiv_version: 1709.10234v3 · doi: 10.48550/arxiv.1709.10234 · pith_short_12: HJWT6RZFOFNV · pith_short_16: HJWT6RZFOFNV2WLO · pith_short_8: HJWT6RZF

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/HJWT6RZFOFNV2WLOE43ZSRWM7F \
  | 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: 3a6d3f4725715b5d596e27379946ccf9533a2bb40ad1995bf7a763d5a15f8898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3cb8491ccaea75f590121445b6a1c1771fed0ce7a0cde5ff54f3772749a63f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-29T04:31:57Z",
    "title_canon_sha256": "b28fc3b67366cd6097441dec209c78df0c41263715d75df5fb5ace70780757ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10234",
    "kind": "arxiv",
    "version": 3
  }
}