Pith Number

pith:AD2DHXQJ

pith:2018:AD2DHXQJ4WK56PA6DAMSCQZGGV

not attested not anchored not stored refs pending

Comptage des syst\`emes locaux $\ell$-adiques sur une courbe

Hongjie Yu

arxiv:1807.04659 v5 · 2018-07-12 · math.AG · 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{AD2DHXQJ4WK56PA6DAMSCQZGGV}

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	2026-07-05T04:40:41.397564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f433de09e595df3c1e1819214326355a57e01339afd0d27b1b3f035fa6e1e1

Aliases

arxiv: 1807.04659 · arxiv_version: 1807.04659v5 · doi: 10.48550/arxiv.1807.04659 · pith_short_12: AD2DHXQJ4WK5 · pith_short_16: AD2DHXQJ4WK56PA6 · pith_short_8: AD2DHXQJ

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/AD2DHXQJ4WK56PA6DAMSCQZGGV \
  | 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: 00f433de09e595df3c1e1819214326355a57e01339afd0d27b1b3f035fa6e1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ddbe37a08e3a8a07b13b565d495c9769afe0892a6f15835375bb9f546e00157",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-12T14:59:46Z",
    "title_canon_sha256": "bd9b95381c12751596999a4b1d8ad74084fd991926169a4ee1cc49a6a17f86bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04659",
    "kind": "arxiv",
    "version": 5
  }
}