Pith Number

pith:QTDEN4IF

pith:2016:QTDEN4IFDI6P7YCLLZMJSHV6FQ

not attested not anchored not stored refs pending

Strong arithmetic mirror symmetry and toric isogenies

Christopher Magyar, Ursula Whitcher

arxiv:1610.01011 v1 · 2016-10-04 · 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{QTDEN4IFDI6P7YCLLZMJSHV6FQ}

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	2026-05-18T01:03:12.646765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84c646f1051a3cffe04b5e58991ebe2c22ec0e8a25f11cbb16b38e17c371eb06

Aliases

arxiv: 1610.01011 · arxiv_version: 1610.01011v1 · doi: 10.48550/arxiv.1610.01011 · pith_short_12: QTDEN4IFDI6P · pith_short_16: QTDEN4IFDI6P7YCL · pith_short_8: QTDEN4IF

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/QTDEN4IFDI6P7YCLLZMJSHV6FQ \
  | 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: 84c646f1051a3cffe04b5e58991ebe2c22ec0e8a25f11cbb16b38e17c371eb06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb59c16f8a83b791146f1d410f9a656c375501b7ff3036d0df5996963830554",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-04T14:20:37Z",
    "title_canon_sha256": "bd2ac8413714d2e6eac2d115941235b52a0510923378293ba6bffea207663dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01011",
    "kind": "arxiv",
    "version": 1
  }
}