Pith Number

pith:YTGWMUCU

pith:2013:YTGWMUCUDCEUKKNPPKXZJYQFZG

not attested not anchored not stored refs pending

Modularity and integral points on moduli schemes

Rafael von K\"anel

arxiv:1310.7263 v2 · 2013-10-27 · 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{YTGWMUCUDCEUKKNPPKXZJYQFZG}

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.

Cited by

1 paper in Pith

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations

Receipt and verification

First computed	2026-05-18T00:44:29.394264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4cd66505418894529af7aaf94e205c9beb63bafe912a9fedae10670f6713a64

Aliases

arxiv: 1310.7263 · arxiv_version: 1310.7263v2 · doi: 10.48550/arxiv.1310.7263 · pith_short_12: YTGWMUCUDCEU · pith_short_16: YTGWMUCUDCEUKKNP · pith_short_8: YTGWMUCU

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/YTGWMUCUDCEUKKNPPKXZJYQFZG \
  | 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: c4cd66505418894529af7aaf94e205c9beb63bafe912a9fedae10670f6713a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef7cb7386ddba6293bcd980d9c5e83ccd4006477b4d5e513c7e70447fc0f582",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-27T22:42:43Z",
    "title_canon_sha256": "26ad42910ae94c204c02ca785ea4f12050e5e7d3babb3f905c4f060a3c2e1ca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7263",
    "kind": "arxiv",
    "version": 2
  }
}