Pith Number

pith:5IF7S77M

pith:2016:5IF7S77MRPZRHLS7AWMB5BG4K5

not attested not anchored not stored refs pending

Local duality for representations of finite group schemes

Dave Benson, Henning Krause, Julia Pevtsova, Srikanth B. Iyengar

arxiv:1611.04197 v2 · 2016-11-13 · 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{5IF7S77MRPZRHLS7AWMB5BG4K5}

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	2026-05-17T23:53:34.095398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0bf97fec8bf313ae5f05981e84dc5762c73cffd1f5db33dd5c585e56892dd1

Aliases

arxiv: 1611.04197 · arxiv_version: 1611.04197v2 · doi: 10.48550/arxiv.1611.04197 · pith_short_12: 5IF7S77MRPZR · pith_short_16: 5IF7S77MRPZRHLS7 · pith_short_8: 5IF7S77M

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/5IF7S77MRPZRHLS7AWMB5BG4K5 \
  | 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: ea0bf97fec8bf313ae5f05981e84dc5762c73cffd1f5db33dd5c585e56892dd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d780a00b49fa9eacfe6dc322c3b07f49095840da38dbe0721fd8e6aff0abc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-13T21:59:14Z",
    "title_canon_sha256": "3f40c1da5b0e2ecaf3804b01c40b451b888c390d525e761222be72dbdc1627a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04197",
    "kind": "arxiv",
    "version": 2
  }
}