Pith Number

pith:B3B4V7Q4

pith:2014:B3B4V7Q4VAKLUTJBFSMD3X24E2

not attested not anchored not stored refs pending

A combinatorial geometric Satake equivalence

Joel Kamnitzer

arxiv:1401.2225 v1 · 2014-01-10 · 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{B3B4V7Q4VAKLUTJBFSMD3X24E2}

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	2026-05-18T03:02:46.007252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec3cafe1ca814ba4d212c983ddf5c2695ad201f6da3f781ba00b4b92062e150

Aliases

arxiv: 1401.2225 · arxiv_version: 1401.2225v1 · doi: 10.48550/arxiv.1401.2225 · pith_short_12: B3B4V7Q4VAKL · pith_short_16: B3B4V7Q4VAKLUTJB · pith_short_8: B3B4V7Q4

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/B3B4V7Q4VAKLUTJBFSMD3X24E2 \
  | 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: 0ec3cafe1ca814ba4d212c983ddf5c2695ad201f6da3f781ba00b4b92062e150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0968456f6b7c4ec256503c5ce9e8542cd8c8fda73492fcf5834b317ec079dd06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-10T03:51:43Z",
    "title_canon_sha256": "68affa718daa1f62a1f4105c97445fe64c76ce0501ccc24ee8b77c86b0ce0806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2225",
    "kind": "arxiv",
    "version": 1
  }
}