Pith Number

pith:ZTP4BXL4

pith:2012:ZTP4BXL446BZLL2ZYOP4HV2HCE

not attested not anchored not stored refs pending

Ordering Lusztig's families in type $B_n$

Lacrimioara Iancu, Meinolf Geck

arxiv:1205.3762 v2 · 2012-05-16 · 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{ZTP4BXL446BZLL2ZYOP4HV2HCE}

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	2026-05-18T03:55:02.415052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccdfc0dd7ce78395af59c39fc3d7471113107dcdc9ce37b1ecaaf1dd31f134bd

Aliases

arxiv: 1205.3762 · arxiv_version: 1205.3762v2 · doi: 10.48550/arxiv.1205.3762 · pith_short_12: ZTP4BXL446BZ · pith_short_16: ZTP4BXL446BZLL2Z · pith_short_8: ZTP4BXL4

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/ZTP4BXL446BZLL2ZYOP4HV2HCE \
  | 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: ccdfc0dd7ce78395af59c39fc3d7471113107dcdc9ce37b1ecaaf1dd31f134bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca22d5e97c68a1fa120e7770753d7251ac7752b4fc65b29bda29511aef135d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-16T19:03:13Z",
    "title_canon_sha256": "1800ae3c0c4a729c584380c87ea0078ae2a198ff8437540adfb5b4c73e4e611b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3762",
    "kind": "arxiv",
    "version": 2
  }
}