Pith Number

pith:FOJR4VDM

pith:2009:FOJR4VDM6HJT7HZUWUMP56LK6A

not attested not anchored not stored refs pending

Crystals from categorified quantum groups

Aaron D. Lauda, Monica Vazirani

arxiv:0909.1810 v2 · 2009-09-10 · 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{FOJR4VDM6HJT7HZUWUMP56LK6A}

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	2026-05-18T04:16:32.342462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b931e546cf1d33f9f34b518fef96af03eb8bcb2bba4f52ccc519bda4e6936c7

Aliases

arxiv: 0909.1810 · arxiv_version: 0909.1810v2 · doi: 10.48550/arxiv.0909.1810 · pith_short_12: FOJR4VDM6HJT · pith_short_16: FOJR4VDM6HJT7HZU · pith_short_8: FOJR4VDM

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/FOJR4VDM6HJT7HZUWUMP56LK6A \
  | 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: 2b931e546cf1d33f9f34b518fef96af03eb8bcb2bba4f52ccc519bda4e6936c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799edfd2fbea6f269b09bca0948550111f7ddd328c8c3a27b1a6609b69e82a87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-10T18:25:05Z",
    "title_canon_sha256": "33d5dba079e37b3e455354142b818a2fe688653bc8b619b7d3676395ae4486e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1810",
    "kind": "arxiv",
    "version": 2
  }
}