Pith Number

pith:NDUMWEMB

pith:2012:NDUMWEMBP2ALB5M4NMBAJSQAUP

not attested not anchored not stored refs pending

Selmer Groups in Twist Families of Elliptic Curves

Ilker Inam

arxiv:1203.2791 v1 · 2012-03-13 · 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{NDUMWEMBP2ALB5M4NMBAJSQAUP}

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	2026-05-18T03:40:03.118633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e8cb11817e80b0f59c6b0204ca00a3fa93783ed79df15030d8efbdd6f74302

Aliases

arxiv: 1203.2791 · arxiv_version: 1203.2791v1 · doi: 10.48550/arxiv.1203.2791 · pith_short_12: NDUMWEMBP2AL · pith_short_16: NDUMWEMBP2ALB5M4 · pith_short_8: NDUMWEMB

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/NDUMWEMBP2ALB5M4NMBAJSQAUP \
  | 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: 68e8cb11817e80b0f59c6b0204ca00a3fa93783ed79df15030d8efbdd6f74302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1b2db9754fb2189ff5fd3d332492819490440aec355d61edff2f3c5e2df6ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-13T13:00:18Z",
    "title_canon_sha256": "3db40854630a1805720728966f37254d7266520bebf50b300d2075f51ae9a8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2791",
    "kind": "arxiv",
    "version": 1
  }
}