Pith Number

pith:DLTT7NKS

pith:2010:DLTT7NKSIZ2WTFPBRI2T4A4GKC

not attested not anchored not stored refs pending

Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$

H\'el\`ene Esnault, Kay R\"ulling, Pierre Berthelot

arxiv:1009.0178 v2 · 2010-09-01 · math.AG · math.AC · 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{DLTT7NKSIZ2WTFPBRI2T4A4GKC}

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	2026-05-18T04:13:45.822350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae73fb55246756995e18a353e03865097924b8ba55d1d74030af8611f7e6ba3

Aliases

arxiv: 1009.0178 · arxiv_version: 1009.0178v2 · doi: 10.48550/arxiv.1009.0178 · pith_short_12: DLTT7NKSIZ2W · pith_short_16: DLTT7NKSIZ2WTFPB · pith_short_8: DLTT7NKS

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/DLTT7NKSIZ2WTFPBRI2T4A4GKC \
  | 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: 1ae73fb55246756995e18a353e03865097924b8ba55d1d74030af8611f7e6ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e039577fbd6f02cffa70fabe5dedd0eb8cdf36c56f0841ac7aa178556d9645a",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-01T13:31:11Z",
    "title_canon_sha256": "a263ede7bc7f0134cde28c1253ea46edae2822d192840e3f3d1544ab9bd884d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0178",
    "kind": "arxiv",
    "version": 2
  }
}