Pith Number

pith:BG2GVD45

pith:2013:BG2GVD45WZUVMGVN42CLXRCDIE

not attested not anchored not stored refs pending

Decision and Search in Non-abelian Cramer Shoup Public Key Cryptosystem

Delaram Kahrobaei, Michael Anshel

arxiv:1309.4519 v1 · 2013-09-18 · math.GR · 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{BG2GVD45WZUVMGVN42CLXRCDIE}

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	2026-05-18T03:12:59.184070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b46a8f9db669561aade684bbc443412ccd4ce475cbe6a4c9c1bdd6850e1c1d

Aliases

arxiv: 1309.4519 · arxiv_version: 1309.4519v1 · doi: 10.48550/arxiv.1309.4519 · pith_short_12: BG2GVD45WZUV · pith_short_16: BG2GVD45WZUVMGVN · pith_short_8: BG2GVD45

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/BG2GVD45WZUVMGVN42CLXRCDIE \
  | 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: 09b46a8f9db669561aade684bbc443412ccd4ce475cbe6a4c9c1bdd6850e1c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96cf7ad6a3abf7a51ae057e8c84d1612b4a3f39eea97375ab5c76e7c4cdbdab9",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-18T01:51:41Z",
    "title_canon_sha256": "11a34c044621fba38039533fd155e9805e8a5c4016f91e3e9511360470f7ec89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4519",
    "kind": "arxiv",
    "version": 1
  }
}