Pith Number

pith:M5IMBTCW

pith:2011:M5IMBTCWDB77LIRUTYJJDF2URM

not attested not anchored not stored refs pending

Differential operators on quantized flag manifolds at roots of unity II

Toshiyuki Tanisaki

arxiv:1101.5848 v2 · 2011-01-31 · 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{M5IMBTCWDB77LIRUTYJJDF2URM}

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	2026-05-18T02:29:30.206974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6750c0cc56187ff5a2349e129197548b18c6a1ddf12d6de4c3316ca21ca54702

Aliases

arxiv: 1101.5848 · arxiv_version: 1101.5848v2 · doi: 10.48550/arxiv.1101.5848 · pith_short_12: M5IMBTCWDB77 · pith_short_16: M5IMBTCWDB77LIRU · pith_short_8: M5IMBTCW

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/M5IMBTCWDB77LIRUTYJJDF2URM \
  | 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: 6750c0cc56187ff5a2349e129197548b18c6a1ddf12d6de4c3316ca21ca54702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61e4e9a54f9abdbf239c10c0caf769bcd5a3de5df1563c55580515930e9e724",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-31T05:11:10Z",
    "title_canon_sha256": "d5612c0eeee9777103a700a28fd25245dd0eac25d4accbb71eba79e941a204a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5848",
    "kind": "arxiv",
    "version": 2
  }
}