Pith Number

pith:IJKZUUIN

pith:2019:IJKZUUIN3PBYJT4LGTPVOE24PB

not attested not anchored not stored refs pending

Sur un probl\`eme de compatibilit\'e local-global localement analytique

Christophe Breuil, Yiwen Ding

arxiv:1902.03357 v2 · 2019-02-09 · 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{IJKZUUIN3PBYJT4LGTPVOE24PB}

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	2026-05-17T23:47:43.818423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42559a510ddbc384cf8b34df57135c7870d0abc3f939c04f2c8a4d431e082177

Aliases

arxiv: 1902.03357 · arxiv_version: 1902.03357v2 · doi: 10.48550/arxiv.1902.03357 · pith_short_12: IJKZUUIN3PBY · pith_short_16: IJKZUUIN3PBYJT4L · pith_short_8: IJKZUUIN

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/IJKZUUIN3PBYJT4LGTPVOE24PB \
  | 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: 42559a510ddbc384cf8b34df57135c7870d0abc3f939c04f2c8a4d431e082177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7e98d8b7e614251e7ca2422e39f9e7bc37fde9963c7960084de2d0d8e25c96",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-09T02:35:46Z",
    "title_canon_sha256": "6e93af354faffa5731daf5624159c364ea47529976e4279e9a02d20675ec552e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03357",
    "kind": "arxiv",
    "version": 2
  }
}