Pith Number

pith:WD4XDNDV

pith:2009:WD4XDNDVB35QGJG7NTFMKYNVDQ

not attested not anchored not stored refs pending

Global descent obstructions for varieties

Emmanuel Hallouin, Jean-Marc Couveignes

arxiv:0907.3586 v2 · 2009-07-21 · 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{WD4XDNDVB35QGJG7NTFMKYNVDQ}

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	2026-05-18T03:56:24.556024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f971b4750efb0324df6ccac561b51c39bf0cd90b237c6e3cda5eeceed44173

Aliases

arxiv: 0907.3586 · arxiv_version: 0907.3586v2 · doi: 10.48550/arxiv.0907.3586 · pith_short_12: WD4XDNDVB35Q · pith_short_16: WD4XDNDVB35QGJG7 · pith_short_8: WD4XDNDV

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/WD4XDNDVB35QGJG7NTFMKYNVDQ \
  | 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: b0f971b4750efb0324df6ccac561b51c39bf0cd90b237c6e3cda5eeceed44173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0227ea4a0e6730644901804d967c192cbd0c2e7c7b4b957f2db6454a8ae1f36f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-21T09:07:04Z",
    "title_canon_sha256": "d943ef3cd06d52168e6bd7e914c4281a045f6379492ce2bb6b635bc79abdd028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3586",
    "kind": "arxiv",
    "version": 2
  }
}