Pith Number

pith:YHSOGXSJ

pith:2018:YHSOGXSJWUMNQUWWNK4B4FPJZM

not attested not anchored not stored refs pending

The Breuil--M\'ezard conjecture for function fields

Zijian Yao

arxiv:1808.09433 v1 · 2018-08-28 · 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{YHSOGXSJWUMNQUWWNK4B4FPJZM}

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	2026-05-18T00:07:01.398520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e4e35e49b518d852d66ab81e15e9cb1960a69d6b5cb05113032bcc66678c29

Aliases

arxiv: 1808.09433 · arxiv_version: 1808.09433v1 · doi: 10.48550/arxiv.1808.09433 · pith_short_12: YHSOGXSJWUMN · pith_short_16: YHSOGXSJWUMNQUWW · pith_short_8: YHSOGXSJ

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/YHSOGXSJWUMNQUWWNK4B4FPJZM \
  | 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: c1e4e35e49b518d852d66ab81e15e9cb1960a69d6b5cb05113032bcc66678c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e6e962ddcec7e35654a042f1a481b7caae8f5931e5818237682b7f57ce16c5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-28T17:47:48Z",
    "title_canon_sha256": "da5c9c630c3f43c90f9f4aa08eb26879ad972071b48d13524a1e762a6da0e115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09433",
    "kind": "arxiv",
    "version": 1
  }
}