Pith Number

pith:5BMGS2QT

pith:2015:5BMGS2QTJ6D2Z6LQAD6AXSZCFF

not attested not anchored not stored refs pending

On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring

Ben Kane, King Cheong Fung

arxiv:1511.02082 v2 · 2015-11-06 · 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{5BMGS2QTJ6D2Z6LQAD6AXSZCFF}

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	2026-05-18T01:11:18.010428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e858696a134f87acf97000fc0bcb22297d4d3fd680cc40ec28fa2f16b1234e22

Aliases

arxiv: 1511.02082 · arxiv_version: 1511.02082v2 · doi: 10.48550/arxiv.1511.02082 · pith_short_12: 5BMGS2QTJ6D2 · pith_short_16: 5BMGS2QTJ6D2Z6LQ · pith_short_8: 5BMGS2QT

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/5BMGS2QTJ6D2Z6LQAD6AXSZCFF \
  | 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: e858696a134f87acf97000fc0bcb22297d4d3fd680cc40ec28fa2f16b1234e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5208f4ff8698b9d2a4aa0fd504b649692c8b6ca5d390aa78eb8b1d4e6b602349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-06T14:05:03Z",
    "title_canon_sha256": "2b967be441a2e58513a651079fae7719867654e92a1e8390713adbf78eab0110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02082",
    "kind": "arxiv",
    "version": 2
  }
}