Pith Number

pith:S44HWPD2

pith:2017:S44HWPD2RWFRKB5SWMKUIV3AEO

not attested not anchored not stored refs pending

Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields

Alexey Zykin, St\'ephane Ballet

arxiv:1706.09139 v1 · 2017-06-28 · 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{S44HWPD2RWFRKB5SWMKUIV3AEO}

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	2026-05-18T00:41:19.706862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97387b3c7a8d8b1507b2b31544576023829e282ec7fe39b800888996e5a79035

Aliases

arxiv: 1706.09139 · arxiv_version: 1706.09139v1 · doi: 10.48550/arxiv.1706.09139 · pith_short_12: S44HWPD2RWFR · pith_short_16: S44HWPD2RWFRKB5S · pith_short_8: S44HWPD2

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/S44HWPD2RWFRKB5SWMKUIV3AEO \
  | 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: 97387b3c7a8d8b1507b2b31544576023829e282ec7fe39b800888996e5a79035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "543ff9145ab15fb88cf118afafe48c5487a5f5eda451fb7a6bffe5c9a8c1f066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-28T07:06:20Z",
    "title_canon_sha256": "2336f6aef3d6d490e2105384a396f9a660b589ea6e4f4c4c0424e5d8ffd38640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09139",
    "kind": "arxiv",
    "version": 1
  }
}