Pith Number

pith:7JC3RYVK

pith:2017:7JC3RYVKECS5E3NHEKKJKFULBP

not attested not anchored not stored refs pending

On abelian multiplicatively dependent points on a curve in a torus

Alina Ostafe, Igor E. Shparlinski, Min Sha, Umberto Zannier

arxiv:1704.04694 v4 · 2017-04-15 · 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{7JC3RYVKECS5E3NHEKKJKFULBP}

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	2026-05-18T00:24:42.898671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa45b8e2aa20a5d26da7229495168b0be38ff0fe41a8d1a7402bf6c183fcbc91

Aliases

arxiv: 1704.04694 · arxiv_version: 1704.04694v4 · doi: 10.48550/arxiv.1704.04694 · pith_short_12: 7JC3RYVKECS5 · pith_short_16: 7JC3RYVKECS5E3NH · pith_short_8: 7JC3RYVK

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/7JC3RYVKECS5E3NHEKKJKFULBP \
  | 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: fa45b8e2aa20a5d26da7229495168b0be38ff0fe41a8d1a7402bf6c183fcbc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00eb422a539afda9a3a751c5a5d1780c71c2932967504dd855a55a0c3ca41f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-15T23:05:13Z",
    "title_canon_sha256": "9ec926109c4ed96ce4097dd35abcd2a1e3b5b2f7f3d7c80fd9b5c129db870e60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04694",
    "kind": "arxiv",
    "version": 4
  }
}