Pith Number

pith:UF6VZJTO

pith:2017:UF6VZJTO2LUQOQQU6Y64U476SM

not attested not anchored not stored refs pending

Existence of supersingular representations of p-adic reductive groups

Marie-France Vign\'eras

arxiv:1712.10142 v1 · 2017-12-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UF6VZJTO2LUQOQQU6Y64U476SM}

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	2026-05-18T00:27:03.840621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a17d5ca66ed2e9074214f63dca73fe930548ad390a0a55cae25eacb6cb1db467

Aliases

arxiv: 1712.10142 · arxiv_version: 1712.10142v1 · doi: 10.48550/arxiv.1712.10142 · pith_short_12: UF6VZJTO2LUQ · pith_short_16: UF6VZJTO2LUQOQQU · pith_short_8: UF6VZJTO

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/UF6VZJTO2LUQOQQU6Y64U476SM \
  | 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: a17d5ca66ed2e9074214f63dca73fe930548ad390a0a55cae25eacb6cb1db467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c327d1d0aed67d8ca87334769d71bb0e98494b354f17558d91b752e1d533373c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-29T08:19:26Z",
    "title_canon_sha256": "af14b6bf9ff58b942892c87cbdef557d17db9c9113a214c9be4b41c50366fffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10142",
    "kind": "arxiv",
    "version": 1
  }
}