Pith Number

pith:PAJAREEO

pith:2008:PAJAREEOPWDE44HYMO3L7CREFL

not attested not anchored not stored refs pending

Large Selmer groups over number fields

Alex Bartel

arxiv:0805.1231 v4 · 2008-05-09 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAJAREEOPWDE44HYMO3L7CREFL}

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	2026-05-18T01:30:43.650685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781208908e7d864e70f863b6bf8a242af5316eb0d683f5bad232667957c7474a

Aliases

arxiv: 0805.1231 · arxiv_version: 0805.1231v4 · doi: 10.48550/arxiv.0805.1231 · pith_short_12: PAJAREEOPWDE · pith_short_16: PAJAREEOPWDE44HY · pith_short_8: PAJAREEO

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/PAJAREEOPWDE44HYMO3L7CREFL \
  | 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: 781208908e7d864e70f863b6bf8a242af5316eb0d683f5bad232667957c7474a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95843ca0f9f5a1317d187c265ee24a89f7cb0ef4c2aff3f8d475b7973d727ffb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-09T10:59:46Z",
    "title_canon_sha256": "78914a584be04cbd8d4bd268ce2ecb5d5183376bdceed3e97d92c4fd91bf467f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1231",
    "kind": "arxiv",
    "version": 4
  }
}