Pith Number

pith:WL57XXI4

pith:2008:WL57XXI4FFXEYXV2UTHVICTF3M

not attested not anchored not stored refs pending

On the second Tate-Shafarevich group of a 1-motive

Peter Jossen

arxiv:0811.2917 v3 · 2008-11-18 · 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{WL57XXI4FFXEYXV2UTHVICTF3M}

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	2026-05-18T01:22:31.056461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fbfbdd1c296e4c5ebaa4cf540a65db0010ce87e7307d24702015f695a3db56

Aliases

arxiv: 0811.2917 · arxiv_version: 0811.2917v3 · doi: 10.48550/arxiv.0811.2917 · pith_short_12: WL57XXI4FFXE · pith_short_16: WL57XXI4FFXEYXV2 · pith_short_8: WL57XXI4

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/WL57XXI4FFXEYXV2UTHVICTF3M \
  | 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: b2fbfbdd1c296e4c5ebaa4cf540a65db0010ce87e7307d24702015f695a3db56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42171cff7989aa1d0968de72251678044e3669121c394e4ba129c454db49383e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-18T15:03:06Z",
    "title_canon_sha256": "b4ade2dafbc09f89728175416e8cc4bf27a37a3f8b7dbdf7fcba12c6bc34ae47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2917",
    "kind": "arxiv",
    "version": 3
  }
}