Pith Number

pith:NWPUR52V

pith:2024:NWPUR52V5HMSJXYSDXODBDT3RA

not attested not anchored not stored refs pending

An exact way to verify whether n is a congruent number using Heegner points

Heng Chen, Rong Ma, Tuoping Du

arxiv:2411.14188 v1 · 2024-11-21 · 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{NWPUR52V5HMSJXYSDXODBDT3RA}

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	2026-07-05T09:38:42.944520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d9f48f755e9d924df121ddc308e7b882d56f6d25e66da4dbe250dea86ace858

Aliases

arxiv: 2411.14188 · arxiv_version: 2411.14188v1 · doi: 10.48550/arxiv.2411.14188 · pith_short_12: NWPUR52V5HMS · pith_short_16: NWPUR52V5HMSJXYS · pith_short_8: NWPUR52V

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/NWPUR52V5HMSJXYSDXODBDT3RA \
  | 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: 6d9f48f755e9d924df121ddc308e7b882d56f6d25e66da4dbe250dea86ace858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcca0d65264cc22e3b801a55ff51b4fe425bcf3b971381fdcfe467515f6c137",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-21T14:57:21Z",
    "title_canon_sha256": "7b6b0488f6f38b1dd81d2987f399cd3ffb30a8d386a64d3a0dcb98329db14f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14188",
    "kind": "arxiv",
    "version": 1
  }
}