Pith Number

pith:ZOLYL4B4

pith:2010:ZOLYL4B47CJ7BZ34C45QAXD4TQ

not attested not anchored not stored refs pending

From Jantzen to Andersen Filtration via Tilting Equivalence

Johannes K\"ubel

arxiv:1011.1794 v3 · 2010-11-08 · 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{ZOLYL4B47CJ7BZ34C45QAXD4TQ}

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	2026-05-18T03:25:16.460334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9785f03cf893f0e77c173b005c7c9c1d145374af6bcc49590f713b03d9458c

Aliases

arxiv: 1011.1794 · arxiv_version: 1011.1794v3 · doi: 10.48550/arxiv.1011.1794 · pith_short_12: ZOLYL4B47CJ7 · pith_short_16: ZOLYL4B47CJ7BZ34 · pith_short_8: ZOLYL4B4

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/ZOLYL4B47CJ7BZ34C45QAXD4TQ \
  | 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: cb9785f03cf893f0e77c173b005c7c9c1d145374af6bcc49590f713b03d9458c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde2508517f1b8c104a30c73ac82c80a06267a5118fddd715f0770a8c9fd011e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-08T13:16:26Z",
    "title_canon_sha256": "267bb3ae64e84a9b8a6f3d30cdc530078b9992a1cb4ba415baa3fe38c36f7dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1794",
    "kind": "arxiv",
    "version": 3
  }
}