Pith Number

pith:3GTTXQES

pith:2018:3GTTXQES4IIFAXAVRXNY4SAXMU

not attested not anchored not stored refs pending

Symmetric diophantine systems and families of elliptic curves of high rank

Ajai Choudhry

arxiv:1809.06603 v1 · 2018-09-18 · 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{3GTTXQES4IIFAXAVRXNY4SAXMU}

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	2026-05-18T00:05:25.207453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a73bc092e210505c158ddb8e48176536fe82afe719eedd10e15eba2f7dc95b

Aliases

arxiv: 1809.06603 · arxiv_version: 1809.06603v1 · doi: 10.48550/arxiv.1809.06603 · pith_short_12: 3GTTXQES4IIF · pith_short_16: 3GTTXQES4IIFAXAV · pith_short_8: 3GTTXQES

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/3GTTXQES4IIFAXAVRXNY4SAXMU \
  | 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: d9a73bc092e210505c158ddb8e48176536fe82afe719eedd10e15eba2f7dc95b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43bbdeab28b81318479d376a15a0fff274c2005e4251cd4825c47a67fdd89599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-18T09:10:53Z",
    "title_canon_sha256": "67906b94124da8d4d856d4400c06bae7bed8b4a66c01e7807cc44bd7357b7f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06603",
    "kind": "arxiv",
    "version": 1
  }
}