Pith Number

pith:RD6DL32K

pith:2009:RD6DL32KLJQFZTIJSLR2JEHP7B

not attested not anchored not stored refs pending

Using Indices of Points on an Elliptic Curve to Construct A Diophantine Model of $\Z$ and Define $\Z$ Using One Universal Quantifier in Very Large Subrings of Number Fields, Including $\Q$

Alexandra Shlapentokh

arxiv:0901.4168 v3 · 2009-01-27 · math.NT · math.AG · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RD6DL32KLJQFZTIJSLR2JEHP7B}

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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	2026-05-18T04:18:34.988118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88fc35ef4a5a605ccd0992e3a490eff84d79322c61e545ed94655ed9d82630b2

Aliases

arxiv: 0901.4168 · arxiv_version: 0901.4168v3 · doi: 10.48550/arxiv.0901.4168 · pith_short_12: RD6DL32KLJQF · pith_short_16: RD6DL32KLJQFZTIJ · pith_short_8: RD6DL32K

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/RD6DL32KLJQFZTIJSLR2JEHP7B \
  | 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: 88fc35ef4a5a605ccd0992e3a490eff84d79322c61e545ed94655ed9d82630b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3285d3e788c073534ced41bb96d7d35bd6736538bb51d02317bf375c8191c4d3",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-01-27T03:53:06Z",
    "title_canon_sha256": "575e344c2bef3129377260b730cbf5735b4e1b0386004f08a5dd57a20f2763f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4168",
    "kind": "arxiv",
    "version": 3
  }
}