Pith Number

pith:JXTRVWNX

pith:2008:JXTRVWNX56QQK5XG6I4JN6NO5G

not attested not anchored not stored refs pending

Structure of the cuspidal rational torsion subgroup of J_1(p^n)

Jeng-Daw Yu, Yifan Yang

arxiv:0803.3732 v1 · 2008-03-26 · math.NT · 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{JXTRVWNX56QQK5XG6I4JN6NO5G}

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	2026-05-18T02:58:11.665179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de71ad9b7efa10576e6f23896f9aee9a1ec148deb7da3280e5e44c449060c80

Aliases

arxiv: 0803.3732 · arxiv_version: 0803.3732v1 · doi: 10.48550/arxiv.0803.3732 · pith_short_12: JXTRVWNX56QQ · pith_short_16: JXTRVWNX56QQK5XG · pith_short_8: JXTRVWNX

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/JXTRVWNX56QQK5XG6I4JN6NO5G \
  | 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: 4de71ad9b7efa10576e6f23896f9aee9a1ec148deb7da3280e5e44c449060c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a054ca339c62345ee7c25db7a72652c5afb654c8a1e89e35a6231aa6c02017fd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-26T13:47:42Z",
    "title_canon_sha256": "9ac48e39b0f394ce8c1c9a8ed91360a6247290548766478fcce8066d1806d76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3732",
    "kind": "arxiv",
    "version": 1
  }
}