Pith Number

pith:PL54EFYN

pith:2015:PL54EFYNJQGD4ENMRR6TZJEQQQ

not attested not anchored not stored refs pending

Impossible intersections in a Weierstrass family of elliptic curves

Niki Myrto Mavraki

arxiv:1507.07047 v2 · 2015-07-25 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PL54EFYNJQGD4ENMRR6TZJEQQQ}

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	2026-05-18T01:10:59.992627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afbc2170d4c0c3e11ac8c7d3ca49084043e3abceeb24b6e2621fcecef35eb4f

Aliases

arxiv: 1507.07047 · arxiv_version: 1507.07047v2 · doi: 10.48550/arxiv.1507.07047 · pith_short_12: PL54EFYNJQGD · pith_short_16: PL54EFYNJQGD4ENM · pith_short_8: PL54EFYN

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/PL54EFYNJQGD4ENMRR6TZJEQQQ \
  | 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: 7afbc2170d4c0c3e11ac8c7d3ca49084043e3abceeb24b6e2621fcecef35eb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d23d70954deb37d541e83127031b08441f05871b14d3b2a857083339aebdc5c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-25T01:07:09Z",
    "title_canon_sha256": "f1ca90cadd14c6df9199cd0cee51117ef8ccc63deb51a5e125ea7d117e3915d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07047",
    "kind": "arxiv",
    "version": 2
  }
}