Pith Number

pith:KASUL6EG

pith:2014:KASUL6EGKFRU4K5HE4JNUDYBLW

not attested not anchored not stored refs pending

Breaking `128-bit Secure' Supersingular Binary Curves (or how to solve discrete logarithms in ${\mathbb F}_{2^{4 \cdot 1223}}$ and ${\mathbb F}_{2^{12 \cdot 367}}$)

Jens Zumbr\"agel, Robert Granger, Thorsten Kleinjung

arxiv:1402.3668 v3 · 2014-02-15 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KASUL6EGKFRU4K5HE4JNUDYBLW}

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	2026-05-18T02:49:53.636152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

502545f88651634e2ba72712da0f015d9c54f89f1e0d25d352eb0f194fba63e5

Aliases

arxiv: 1402.3668 · arxiv_version: 1402.3668v3 · doi: 10.48550/arxiv.1402.3668 · pith_short_12: KASUL6EGKFRU · pith_short_16: KASUL6EGKFRU4K5H · pith_short_8: KASUL6EG

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/KASUL6EGKFRU4K5HE4JNUDYBLW \
  | 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: 502545f88651634e2ba72712da0f015d9c54f89f1e0d25d352eb0f194fba63e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea5bbd8efc51d749c2b8965dc9e334658eba51e30476103ed169242092dfecb",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-15T09:31:36Z",
    "title_canon_sha256": "ac27cc4a7c4156a83b311a1b5ba2057fe73636164890c0ebcb0ce037917979e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3668",
    "kind": "arxiv",
    "version": 3
  }
}