Pith Number

pith:5LB6Z46H

pith:2013:5LB6Z46H5TK3TXKF6U3YX4DHSU

not attested not anchored not stored refs pending

Le syst\`eme d'Euler de Kato en famille (II)

Shanwen Wang

arxiv:1312.6428 v2 · 2013-12-22 · 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{5LB6Z46H5TK3TXKF6U3YX4DHSU}

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	2026-05-18T02:00:02.749704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac3ecf3c7ecd5b9dd45f5378bf067951d29b0c1db2d78f8252b1e8fc20a7697

Aliases

arxiv: 1312.6428 · arxiv_version: 1312.6428v2 · doi: 10.48550/arxiv.1312.6428 · pith_short_12: 5LB6Z46H5TK3 · pith_short_16: 5LB6Z46H5TK3TXKF · pith_short_8: 5LB6Z46H

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/5LB6Z46H5TK3TXKF6U3YX4DHSU \
  | 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: eac3ecf3c7ecd5b9dd45f5378bf067951d29b0c1db2d78f8252b1e8fc20a7697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a95d55cbbcc47276905c4927110b6cd5d464d5b7d896d720dab1c59e2882cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-22T22:01:18Z",
    "title_canon_sha256": "dd20047a8dc2fa670fa3e0f870299189ac71b8061a145b22150c676abfa7e306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6428",
    "kind": "arxiv",
    "version": 2
  }
}