Pith Number

pith:IQPPXQCZ

pith:2022:IQPPXQCZSXMFS2FFLYQMYVIYU7

not attested not anchored not stored refs pending

The rank of 2-Selmer group associate to $\theta$-congruent numbers

Tao Wei, Xuejun Guo

arxiv:2210.01678 v1 · 2022-10-04 · 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{IQPPXQCZSXMFS2FFLYQMYVIYU7}

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	2026-07-05T05:03:13.195385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441efbc05995d85968a55e20cc5518a7e0bda57ba9c85c40eb649c10504ce582

Aliases

arxiv: 2210.01678 · arxiv_version: 2210.01678v1 · doi: 10.48550/arxiv.2210.01678 · pith_short_12: IQPPXQCZSXMF · pith_short_16: IQPPXQCZSXMFS2FF · pith_short_8: IQPPXQCZ

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/IQPPXQCZSXMFS2FFLYQMYVIYU7 \
  | 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: 441efbc05995d85968a55e20cc5518a7e0bda57ba9c85c40eb649c10504ce582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16ada1deb7030f1782e18e8a810bfec8a681dae3a83d8c87179df74466547f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-04T15:22:10Z",
    "title_canon_sha256": "1cb471164edb6e3869cf4b622073a73fa430f4fea980b054c1a8b8b37c683e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01678",
    "kind": "arxiv",
    "version": 1
  }
}