Pith Number

pith:YDDFMJK6

pith:2014:YDDFMJK6NOF3474JGPWP6BJI4T

not attested not anchored not stored refs pending

A note on torsion Breuil modules in the case er=p-1

Hui Gao

arxiv:1410.3953 v2 · 2014-10-15 · 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{YDDFMJK6NOF3474JGPWP6BJI4T}

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	2026-05-17T23:45:53.833026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c656255e6b8bbe7f8933ecff0528e4f892c8eaf0c2a94832f86450ff54244b

Aliases

arxiv: 1410.3953 · arxiv_version: 1410.3953v2 · doi: 10.48550/arxiv.1410.3953 · pith_short_12: YDDFMJK6NOF3 · pith_short_16: YDDFMJK6NOF3474J · pith_short_8: YDDFMJK6

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/YDDFMJK6NOF3474JGPWP6BJI4T \
  | 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: c0c656255e6b8bbe7f8933ecff0528e4f892c8eaf0c2a94832f86450ff54244b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf93bd219420b61aff9cb41fd23f64825fecc393888f0d0592a7a01e6706c60d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-15T07:50:35Z",
    "title_canon_sha256": "6f2a490e81472da9a9189c6a8d359de506544be124d7c1977a5275ba39181a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3953",
    "kind": "arxiv",
    "version": 2
  }
}