Pith Number

pith:LWGK6KCZ

pith:2014:LWGK6KCZ3XZ4PFN7CSHDCYPB36

not attested not anchored not stored refs pending

G-valued crystalline representations with minuscule p-adic Hodge type

Brandon Levin

arxiv:1403.0553 v2 · 2014-03-03 · 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{LWGK6KCZ3XZ4PFN7CSHDCYPB36}

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	2026-05-18T01:22:24.313364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8caf2859ddf3c795bf148e3161e1df97071abb319c71edf74a27aebb7786e6

Aliases

arxiv: 1403.0553 · arxiv_version: 1403.0553v2 · doi: 10.48550/arxiv.1403.0553 · pith_short_12: LWGK6KCZ3XZ4 · pith_short_16: LWGK6KCZ3XZ4PFN7 · pith_short_8: LWGK6KCZ

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/LWGK6KCZ3XZ4PFN7CSHDCYPB36 \
  | 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: 5d8caf2859ddf3c795bf148e3161e1df97071abb319c71edf74a27aebb7786e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561c6930c9300ed879c02c07470114ade433158f3483ac9d4a68b4b08c99220c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-03T20:22:34Z",
    "title_canon_sha256": "f146d6f91ad66c1d4eb202a9b7ae23ba6124ab14466dad60c6018f3748d4464c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0553",
    "kind": "arxiv",
    "version": 2
  }
}