Pith Number

pith:6IXFIYFF

pith:2008:6IXFIYFF3WDZ6GOSD2GU23CLEC

not attested not anchored not stored refs pending

The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences

Katherine E. Stange, Kristin E. Lauter

arxiv:0803.0728 v2 · 2008-03-05 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IXFIYFF3WDZ6GOSD2GU23CLEC}

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	2026-05-18T02:30:33.042943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22e5460a5dd879f19d21e8d4d6c4b209c419200438bef94bbb57ad41ab5cec8

Aliases

arxiv: 0803.0728 · arxiv_version: 0803.0728v2 · doi: 10.48550/arxiv.0803.0728 · pith_short_12: 6IXFIYFF3WDZ · pith_short_16: 6IXFIYFF3WDZ6GOS · pith_short_8: 6IXFIYFF

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/6IXFIYFF3WDZ6GOSD2GU23CLEC \
  | 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: f22e5460a5dd879f19d21e8d4d6c4b209c419200438bef94bbb57ad41ab5cec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcf7dac14e63a79f4a49a7a25d509fcca16a764f536cf21b047a9bb7aad2a85",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-05T18:34:03Z",
    "title_canon_sha256": "b22eb916f19ad652b754496ce1aa1d94388a9230b784ca44a4de1ec779939511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0728",
    "kind": "arxiv",
    "version": 2
  }
}