Pith Number

pith:WHO4Y5JY

pith:2019:WHO4Y5JYCQSLW26DXNUFBKOPJL

not attested not anchored not stored refs pending

An idelic quotient related to Weil reciprocity and the Picard group

Fernando Pablos Romo, Francisco Jos\'e Plaza Mart\'in, Jos\'e Mar\'ia Mu\~noz Porras, Luis Manuel Navas Vicente

arxiv:1905.03954 v1 · 2019-05-10 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHO4Y5JYCQSLW26DXNUFBKOPJL}

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	2026-05-17T23:46:35.064515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ddcc75381424bb6bc3bb6850a9cf4af785e277412aa842d292af6e30d1e6ed

Aliases

arxiv: 1905.03954 · arxiv_version: 1905.03954v1 · doi: 10.48550/arxiv.1905.03954 · pith_short_12: WHO4Y5JYCQSL · pith_short_16: WHO4Y5JYCQSLW26D · pith_short_8: WHO4Y5JY

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/WHO4Y5JYCQSLW26DXNUFBKOPJL \
  | 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: b1ddcc75381424bb6bc3bb6850a9cf4af785e277412aa842d292af6e30d1e6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563710eed2412f78cbb93706dcf232168a5951e92587e7439d603299dab8c9e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-10T06:05:36Z",
    "title_canon_sha256": "a6a0bb2633d96f5658627b50ebdbec0016c5c9c887695c205a8021660589c885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03954",
    "kind": "arxiv",
    "version": 1
  }
}