Pith Number

pith:MZH4HUTC

pith:2018:MZH4HUTC6K2YZ4LRLEYWGRNEDU

not attested not anchored not stored refs pending

Real inflection points of real linear series on an elliptic curve

Cristhian Garay L\'opez, Ethan Cotterill

arxiv:1804.06524 v1 · 2018-04-18 · math.AG · 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{MZH4HUTC6K2YZ4LRLEYWGRNEDU}

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	2026-05-18T00:18:04.875430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664fc3d262f2b58cf17159316345a41d0ec177db12a9aa190d11c021cbcd1de6

Aliases

arxiv: 1804.06524 · arxiv_version: 1804.06524v1 · doi: 10.48550/arxiv.1804.06524 · pith_short_12: MZH4HUTC6K2Y · pith_short_16: MZH4HUTC6K2YZ4LR · pith_short_8: MZH4HUTC

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/MZH4HUTC6K2YZ4LRLEYWGRNEDU \
  | 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: 664fc3d262f2b58cf17159316345a41d0ec177db12a9aa190d11c021cbcd1de6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56d280e05cc5640b4e4e608df559958add8bd7d4b02920a60ec3eaf0ba4ec0a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-18T01:47:23Z",
    "title_canon_sha256": "f189fc0a928c33ad946a16b17dca7903aab98128cbd8f73baf3dfa2e624d3ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06524",
    "kind": "arxiv",
    "version": 1
  }
}