Pith Number

pith:TBU5FXJO

pith:2021:TBU5FXJOQJR4ELI4RAMUGPIGE5

not attested not anchored not stored refs pending

The even parity Goldfeld conjecture: congruent number elliptic curves

Ashay Burungale, Ye Tian

arxiv:2104.06732 v2 · 2021-04-14 · 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{TBU5FXJOQJR4ELI4RAMUGPIGE5}

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	2026-07-05T02:50:10.375943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9869d2dd2e8263c22d1c8819433d06275a7b157d1ff9680b5412d8c25f1d8286

Aliases

arxiv: 2104.06732 · arxiv_version: 2104.06732v2 · doi: 10.48550/arxiv.2104.06732 · pith_short_12: TBU5FXJOQJR4 · pith_short_16: TBU5FXJOQJR4ELI4 · pith_short_8: TBU5FXJO

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/TBU5FXJOQJR4ELI4RAMUGPIGE5 \
  | 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: 9869d2dd2e8263c22d1c8819433d06275a7b157d1ff9680b5412d8c25f1d8286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8696b072717a3064d49bc1972d54c9c24698b2c7369796358176ce15ce56c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-04-14T09:35:10Z",
    "title_canon_sha256": "917cf61037fa10800baf8770e2ff177debf3f9773f0041d45301420eb7bf91b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.06732",
    "kind": "arxiv",
    "version": 2
  }
}