Pith Number

pith:PAFY3IIW

pith:2013:PAFY3IIWPZDUINX4JV7YTENEMN

not attested not anchored not stored refs pending

Cohomological finite generation for the group scheme $SL_2$

Wilberd van der Kallen

arxiv:1301.3270 v1 · 2013-01-15 · 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{PAFY3IIWPZDUINX4JV7YTENEMN}

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	2026-05-18T03:12:11.872460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780b8da1167e474436fc4d7f8991a4635eba2f07b9d3e6f715ceaed0baaa4858

Aliases

arxiv: 1301.3270 · arxiv_version: 1301.3270v1 · doi: 10.48550/arxiv.1301.3270 · pith_short_12: PAFY3IIWPZDU · pith_short_16: PAFY3IIWPZDUINX4 · pith_short_8: PAFY3IIW

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/PAFY3IIWPZDUINX4JV7YTENEMN \
  | 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: 780b8da1167e474436fc4d7f8991a4635eba2f07b9d3e6f715ceaed0baaa4858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5038e824527584a13d34566e09b62b1be72fc47798f7726d3ed2d79039a4e026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-15T09:06:01Z",
    "title_canon_sha256": "3138c20ea4b55e7eda5786c2c33a02cde1f1f9d189e73a59dfbf64b5b7151d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3270",
    "kind": "arxiv",
    "version": 1
  }
}