Pith Number

pith:BVTQENV3

pith:2012:BVTQENV3BSPZRU5QZR5SS3LDMQ

not attested not anchored not stored refs pending

Congruent Numbers and Heegner Points

Ye Tian

arxiv:1210.8231 v1 · 2012-10-31 · 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{BVTQENV3BSPZRU5QZR5SS3LDMQ}

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	2026-05-18T03:41:55.618340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d670236bb0c9f98d3b0cc7b296d63640b14d4424dabb5271293f9e4a33a5d4c

Aliases

arxiv: 1210.8231 · arxiv_version: 1210.8231v1 · doi: 10.48550/arxiv.1210.8231 · pith_short_12: BVTQENV3BSPZ · pith_short_16: BVTQENV3BSPZRU5Q · pith_short_8: BVTQENV3

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/BVTQENV3BSPZRU5QZR5SS3LDMQ \
  | 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: 0d670236bb0c9f98d3b0cc7b296d63640b14d4424dabb5271293f9e4a33a5d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80387d2ca9a70c6eef63161308252aba36e72ab9d6addf405eccb38b01eba1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-31T05:34:34Z",
    "title_canon_sha256": "4aa1c77fa3edec7de3ebc9b40147e91ae47ab5fc2703a12b8e07e35da3f41374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8231",
    "kind": "arxiv",
    "version": 1
  }
}