Pith Number

pith:67T5ATN2

pith:2018:67T5ATN2GOGZUK7NIV456IWBPG

not attested not anchored not stored refs pending

On the Diophantine equation $f(x)=2f(y)$

Richa Sharma, Sanjay Bhatter

arxiv:1810.06817 v2 · 2018-10-16 · 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{67T5ATN2GOGZUK7NIV456IWBPG}

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	2026-05-18T00:01:37.547092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e7d04dba338d9a2bed4579df22c179a5aa3cd07adb06e655a9d13a83700f7c

Aliases

arxiv: 1810.06817 · arxiv_version: 1810.06817v2 · doi: 10.48550/arxiv.1810.06817 · pith_short_12: 67T5ATN2GOGZ · pith_short_16: 67T5ATN2GOGZUK7N · pith_short_8: 67T5ATN2

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/67T5ATN2GOGZUK7NIV456IWBPG \
  | 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: f7e7d04dba338d9a2bed4579df22c179a5aa3cd07adb06e655a9d13a83700f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c814b521e04e1ee4fe527d0dd70dd236bfaa9de3367644496d0f1012e762cbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-16T05:36:32Z",
    "title_canon_sha256": "ac7ba59fd60743b9f87a5bda5938c4c7af8599d8715665bae77e5f5ca6379c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06817",
    "kind": "arxiv",
    "version": 2
  }
}