Pith Number

pith:YD2GHKDS

pith:2008:YD2GHKDS6LZITT27RGW5MEIGL7

not attested not anchored not stored refs pending

An Arakelov Inequality in Characteristic p and Upper Bound of p-Rank Zero Locus

Jun Lu, Kang Zuo, Mao Sheng

arxiv:0811.1529 v2 · 2008-11-10 · 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{YD2GHKDS6LZITT27RGW5MEIGL7}

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	2026-05-18T04:17:15.618293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f463a872f2f289cf5f89add611065feec8d98c62700a4458ff88d33dd8b115

Aliases

arxiv: 0811.1529 · arxiv_version: 0811.1529v2 · doi: 10.48550/arxiv.0811.1529 · pith_short_12: YD2GHKDS6LZI · pith_short_16: YD2GHKDS6LZITT27 · pith_short_8: YD2GHKDS

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/YD2GHKDS6LZITT27RGW5MEIGL7 \
  | 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: c0f463a872f2f289cf5f89add611065feec8d98c62700a4458ff88d33dd8b115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf048783dd14aca18888136dfe1dea5ac60c53f76184d4df03b7d0d7af6594e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-10T17:58:38Z",
    "title_canon_sha256": "29fc8198f7cad3b0fe2aa2bf93b372cd6397f081ab26e88aae240cfcf8ad4a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1529",
    "kind": "arxiv",
    "version": 2
  }
}