Pith Number

pith:72XZXQ2J

pith:2011:72XZXQ2J7MW7QFMNLCZWX6BOWT

not attested not anchored not stored refs pending

Siegel's Theorem and the Shafarevich Conjecture

Aaron Levin

arxiv:1109.6070 v2 · 2011-09-28 · 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{72XZXQ2J7MW7QFMNLCZWX6BOWT}

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	2026-05-18T04:00:51.985072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feaf9bc349fb2df8158d58b36bf82eb4f6c08ac2080734dc6c24c7402c2b5fa6

Aliases

arxiv: 1109.6070 · arxiv_version: 1109.6070v2 · doi: 10.48550/arxiv.1109.6070 · pith_short_12: 72XZXQ2J7MW7 · pith_short_16: 72XZXQ2J7MW7QFMN · pith_short_8: 72XZXQ2J

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/72XZXQ2J7MW7QFMNLCZWX6BOWT \
  | 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: feaf9bc349fb2df8158d58b36bf82eb4f6c08ac2080734dc6c24c7402c2b5fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c300131de9259fa2312f2b38c5e8878d2a95be5a1d31b713e58d1c88b9114366",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-28T01:23:14Z",
    "title_canon_sha256": "a6620143cb77d6af99f5f7ac5227a24400ba1f13bb623cd8364e2e94eb7e495b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6070",
    "kind": "arxiv",
    "version": 2
  }
}