Pith Number

pith:KF7DXJ2S

pith:2014:KF7DXJ2SAQDMVE2HPRPZTNY2F4

not attested not anchored not stored refs pending

Selmer groups of elliptic curves in degree $p$ extensions

Julio Brau

arxiv:1401.3304 v1 · 2014-01-14 · 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{KF7DXJ2SAQDMVE2HPRPZTNY2F4}

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	2026-05-18T03:02:18.850124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517e3ba7520406ca93477c5f99b71a2f017ce51d77ac1f63f29869c0544cb7d5

Aliases

arxiv: 1401.3304 · arxiv_version: 1401.3304v1 · doi: 10.48550/arxiv.1401.3304 · pith_short_12: KF7DXJ2SAQDM · pith_short_16: KF7DXJ2SAQDMVE2H · pith_short_8: KF7DXJ2S

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/KF7DXJ2SAQDMVE2HPRPZTNY2F4 \
  | 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: 517e3ba7520406ca93477c5f99b71a2f017ce51d77ac1f63f29869c0544cb7d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9146760cf8c2a4616bb48f9892569573aa8bc29180e8007decfb515f124cbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-14T19:44:48Z",
    "title_canon_sha256": "6a13e16c2ab0b61fe8f2689490362f7f3a72fcc83e522d2f59e1d2ee00350202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3304",
    "kind": "arxiv",
    "version": 1
  }
}