Pith Number

pith:MY7PEPUL

pith:2016:MY7PEPULVZTQHCOUI6SDFUR2RR

not attested not anchored not stored refs pending

The Breuil--M\'{e}zard conjecture when $l \neq p$

Jack Shotton

arxiv:1608.01784 v2 · 2016-08-05 · 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{MY7PEPULVZTQHCOUI6SDFUR2RR}

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	2026-05-18T00:15:24.794262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

663ef23e8bae670389d447a432d23a8c45f860504ef420e49201c2f881c94a45

Aliases

arxiv: 1608.01784 · arxiv_version: 1608.01784v2 · doi: 10.48550/arxiv.1608.01784 · pith_short_12: MY7PEPULVZTQ · pith_short_16: MY7PEPULVZTQHCOU · pith_short_8: MY7PEPUL

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/MY7PEPULVZTQHCOUI6SDFUR2RR \
  | 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: 663ef23e8bae670389d447a432d23a8c45f860504ef420e49201c2f881c94a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d022f93583dc2c9a4e091f3e1b25210bd64ba79fe3eb615dced212fdc1e69c5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-05T07:17:53Z",
    "title_canon_sha256": "5746e70f523b4edd5162d6a4f333b92446165629981c302f9a69a2e491f6b226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01784",
    "kind": "arxiv",
    "version": 2
  }
}