Pith Number

pith:N7RH2KZ2

pith:2019:N7RH2KZ2HG2UKGCZL53UUZZRGW

not attested not anchored not stored refs pending

On the existence of admissible supersingular representations of $p$-adic reductive groups

Florian Herzig, Karol Koziol, Marie-France Vign\'eras

arxiv:1905.00053 v3 · 2019-04-30 · 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{N7RH2KZ2HG2UKGCZL53UUZZRGW}

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	2026-07-05T00:59:52.574757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe27d2b3a39b54518595f774a673135b8926944626693d0215cc31f20531958

Aliases

arxiv: 1905.00053 · arxiv_version: 1905.00053v3 · doi: 10.48550/arxiv.1905.00053 · pith_short_12: N7RH2KZ2HG2U · pith_short_16: N7RH2KZ2HG2UKGCZ · pith_short_8: N7RH2KZ2

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/N7RH2KZ2HG2UKGCZL53UUZZRGW \
  | 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: 6fe27d2b3a39b54518595f774a673135b8926944626693d0215cc31f20531958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bcedb254d7f6d15772d941d0bd76e379a7671839142b79df5b25ce14a5b88ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-04-30T18:43:52Z",
    "title_canon_sha256": "b8837fb1eaaa605155af19d8856599b431c09b875b3b4f0e0c6c9b0151af5007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00053",
    "kind": "arxiv",
    "version": 3
  }
}