Pith Number

pith:HON6HK6U

pith:2015:HON6HK6UD4EAOEM5GS74WHDWKB

not attested not anchored not stored refs pending

A Canonical module characterization of Serre's $(\mathrm{R}_1)$

Kohji Yanagawa, Lukas Katth\"an

arxiv:1506.02537 v2 · 2015-06-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HON6HK6UD4EAOEM5GS74WHDWKB}

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	2026-05-18T01:22:39.816727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9be3abd41f0807119d34bfcb1c76504735aa6f05491fa692e91f4658eabd82

Aliases

arxiv: 1506.02537 · arxiv_version: 1506.02537v2 · doi: 10.48550/arxiv.1506.02537 · pith_short_12: HON6HK6UD4EA · pith_short_16: HON6HK6UD4EAOEM5 · pith_short_8: HON6HK6U

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/HON6HK6UD4EAOEM5GS74WHDWKB \
  | 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: 3b9be3abd41f0807119d34bfcb1c76504735aa6f05491fa692e91f4658eabd82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c06d5f2e2c63b93d892d654720ea7b1341ad4446da57d03966b2f66566cf4fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-08T15:13:02Z",
    "title_canon_sha256": "dfa1fd34b171c5a2838dfbf668049f2ba5ef3b23cd46f8d70eda7e4d6a1dedf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02537",
    "kind": "arxiv",
    "version": 2
  }
}