Pith Number

pith:XZPK3SCP

pith:2017:XZPK3SCP2PGCBDLQYXX4AWC4AR

not attested not anchored not stored refs pending

Computing the Cassels-Tate pairing on 3-isogeny Selmer groups via cubic norm equations

Monique van Beek, Tom Fisher

arxiv:1711.02432 v1 · 2017-11-07 · 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{XZPK3SCP2PGCBDLQYXX4AWC4AR}

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	2026-05-18T00:31:07.907280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5eadc84fd3cc208d70c5efc0585c04561699cc8f0e6db8be023ce21589d552

Aliases

arxiv: 1711.02432 · arxiv_version: 1711.02432v1 · doi: 10.48550/arxiv.1711.02432 · pith_short_12: XZPK3SCP2PGC · pith_short_16: XZPK3SCP2PGCBDLQ · pith_short_8: XZPK3SCP

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/XZPK3SCP2PGCBDLQYXX4AWC4AR \
  | 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: be5eadc84fd3cc208d70c5efc0585c04561699cc8f0e6db8be023ce21589d552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe721f26e27ba7d7aa8453dab87c873349059067732792a744ac872fcc11c78f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-07T12:28:57Z",
    "title_canon_sha256": "4c3fbb493acff1a1f88abae13cf8d55438bb0184e660ccd2db6d905f4cb32b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02432",
    "kind": "arxiv",
    "version": 1
  }
}