Pith Number

pith:DCM4VAUZ

pith:2017:DCM4VAUZBN45H7SC2C6UY7X26H

not attested not anchored not stored refs pending

Arithmetic purity of strong approximation for homogeneous spaces

Fei Xu, Yang Cao, Yongqi Liang

arxiv:1701.07259 v3 · 2017-01-25 · math.AG · 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{DCM4VAUZBN45H7SC2C6UY7X26H}

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	2026-05-18T00:15:37.875481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1899ca82990b79d3fe42d0bd4c7efaf1f42f71fed133dd2e7a4ff6884088500d

Aliases

arxiv: 1701.07259 · arxiv_version: 1701.07259v3 · doi: 10.48550/arxiv.1701.07259 · pith_short_12: DCM4VAUZBN45 · pith_short_16: DCM4VAUZBN45H7SC · pith_short_8: DCM4VAUZ

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/DCM4VAUZBN45H7SC2C6UY7X26H \
  | 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: 1899ca82990b79d3fe42d0bd4c7efaf1f42f71fed133dd2e7a4ff6884088500d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac326c542d34faf7c79db7ffeeb8cad8a02487284370971e150f3f4cb88799eb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-25T10:51:52Z",
    "title_canon_sha256": "57eb4e1b8993dc28ce08457d90f93dbeee0739cd0e478f82493c93b46bf21ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07259",
    "kind": "arxiv",
    "version": 3
  }
}