Pith Number

pith:PA5TKXKT

pith:2017:PA5TKXKTGFXWACZ4RGYPM4H3DI

not attested not anchored not stored refs pending

Saturation rank for finite group schemes: Finite groups and Infinitesimal group schemes

Yang Pan

arxiv:1701.02951 v1 · 2017-01-11 · math.RT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T00:52:59.747219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783b355d53316f600b3c89b0f670fb1a2ab675c44d8e290f6eba124f73c37cfe

Aliases

arxiv: 1701.02951 · arxiv_version: 1701.02951v1 · doi: 10.48550/arxiv.1701.02951 · pith_short_12: PA5TKXKTGFXW · pith_short_16: PA5TKXKTGFXWACZ4 · pith_short_8: PA5TKXKT

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/PA5TKXKTGFXWACZ4RGYPM4H3DI \
  | 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: 783b355d53316f600b3c89b0f670fb1a2ab675c44d8e290f6eba124f73c37cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5561a2883733862e5cfd3a031adb19ab7364deac500a9b64930690fc0f57812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-01-11T12:31:55Z",
    "title_canon_sha256": "0bd20e474a0c207a9bfb1692f04a5221605b7cf5124cdaba11c98cc4588aceac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02951",
    "kind": "arxiv",
    "version": 1
  }
}