Pith Number

pith:V4V6K2BI

pith:2017:V4V6K2BIOY6WSQF55J6FPQ6EDI

not attested not anchored not stored refs pending

Modulo $p$ representations of reductive $p$-adic groups: functorial properties

Guy Henniart, Marie-France Vign\'eras, Noriyuki Abe

arxiv:1703.05599 v2 · 2017-03-16 · 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{V4V6K2BIOY6WSQF55J6FPQ6EDI}

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	2026-05-18T00:47:37.803481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af2be56828763d6940bdea7c57c3c41a12b19c15243f979b3205c0933cb8ea19

Aliases

arxiv: 1703.05599 · arxiv_version: 1703.05599v2 · doi: 10.48550/arxiv.1703.05599 · pith_short_12: V4V6K2BIOY6W · pith_short_16: V4V6K2BIOY6WSQF5 · pith_short_8: V4V6K2BI

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/V4V6K2BIOY6WSQF55J6FPQ6EDI \
  | 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: af2be56828763d6940bdea7c57c3c41a12b19c15243f979b3205c0933cb8ea19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b0f9300914c106ec1e24ebe5b2e5b484adcd347f09b9c7630f7aa08a3a4b088",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-16T13:11:06Z",
    "title_canon_sha256": "e44db7f9f8085a312bc8da62b287006f3de89a032c0ceed25be6beeac869be24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05599",
    "kind": "arxiv",
    "version": 2
  }
}