Pith Number

pith:OEIFN5LD

pith:2003:OEIFN5LDZ2QRRHIHETRAMS3HYD

not attested not anchored not stored refs pending

Level zero fundamental representations over quantized affine algebras and Demazure modules

Masaki Kashiwara

arxiv:math/0309142 v1 · 2003-09-08 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEIFN5LDZ2QRRHIHETRAMS3HYD}

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	2026-05-18T01:23:59.490732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711056f563cea1189d0724e2064b67c0e4d8ab9bd48a0d665147f68aff21abcd

Aliases

arxiv: math/0309142 · arxiv_version: math/0309142v1 · doi: 10.48550/arxiv.math/0309142 · pith_short_12: OEIFN5LDZ2QR · pith_short_16: OEIFN5LDZ2QRRHIH · pith_short_8: OEIFN5LD

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/OEIFN5LDZ2QRRHIHETRAMS3HYD \
  | 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: 711056f563cea1189d0724e2064b67c0e4d8ab9bd48a0d665147f68aff21abcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94aee4722abb52125204f711d252e07584a03fc839060da4ab410e2d5899e890",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-09-08T08:09:10Z",
    "title_canon_sha256": "c5c2a8a043ed6b41b793c14b6f012d28cfe55c702416537449289991e82b106d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309142",
    "kind": "arxiv",
    "version": 1
  }
}