Pith Number

pith:SLJBEWSY

pith:2015:SLJBEWSYWH4UXSCSGNQ6ZN4VMW

not attested not anchored not stored refs pending

Crystalline liftings and weight part of Serre's conjecture

Hui Gao

arxiv:1504.01233 v3 · 2015-04-06 · 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{SLJBEWSYWH4UXSCSGNQ6ZN4VMW}

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	2026-05-17T23:45:53.782415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d2125a58b1f94bc8523361ecb79565bd616ab206227837a756dc1397947018

Aliases

arxiv: 1504.01233 · arxiv_version: 1504.01233v3 · doi: 10.48550/arxiv.1504.01233 · pith_short_12: SLJBEWSYWH4U · pith_short_16: SLJBEWSYWH4UXSCS · pith_short_8: SLJBEWSY

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/SLJBEWSYWH4UXSCSGNQ6ZN4VMW \
  | 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: 92d2125a58b1f94bc8523361ecb79565bd616ab206227837a756dc1397947018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bd5aacb539ab5258a2944fbc61f1ae9e603f02a0ee9dd9a69d8eb7cdcd2a0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-06T08:27:47Z",
    "title_canon_sha256": "30b7d69c56100b7e2800ef0f68098b449ed6845de5e7dfb8bd87ea36a8181e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01233",
    "kind": "arxiv",
    "version": 3
  }
}