Pith Number

pith:SKC4Q6DM

pith:2009:SKC4Q6DMMXRP67M6CUNVG74INA

not attested not anchored not stored refs pending

A Satake isomorphism in characteristic p

Florian Herzig

arxiv:0910.4570 v2 · 2009-10-23 · math.NT · 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{SKC4Q6DMMXRP67M6CUNVG74INA}

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	2026-05-17T23:53:19.878083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9285c8786c65e2ff7d9e151b537f88682042c5fa5d30023ff551f838d7458bfa

Aliases

arxiv: 0910.4570 · arxiv_version: 0910.4570v2 · doi: 10.48550/arxiv.0910.4570 · pith_short_12: SKC4Q6DMMXRP · pith_short_16: SKC4Q6DMMXRP67M6 · pith_short_8: SKC4Q6DM

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/SKC4Q6DMMXRP67M6CUNVG74INA \
  | 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: 9285c8786c65e2ff7d9e151b537f88682042c5fa5d30023ff551f838d7458bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af351de136db61d57875ba8226de39aa5507353554861fc03ccffd38e0f26180",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-23T19:47:30Z",
    "title_canon_sha256": "5a4a2ce8b9e75f09b6fe380a71e556bff2d98a3fbc3fa39ab33e6e5cd0227c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4570",
    "kind": "arxiv",
    "version": 2
  }
}