Pith Number

pith:P23RYCPE

pith:2012:P23RYCPEFWVBB6CJRZWBZMHIS2

not attested not anchored not stored refs pending

Non-commutative Digital Signatures

Charalambos Koupparis, Delaram Kahrobaei

arxiv:1210.7493 v1 · 2012-10-28 · cs.CR · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P23RYCPEFWVBB6CJRZWBZMHIS2}

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	2026-05-18T03:42:09.795990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb71c09e42daa10f8498e6c1cb0e896a61828f6e275ece5a8d597a52446c56f

Aliases

arxiv: 1210.7493 · arxiv_version: 1210.7493v1 · doi: 10.48550/arxiv.1210.7493 · pith_short_12: P23RYCPEFWVB · pith_short_16: P23RYCPEFWVBB6CJ · pith_short_8: P23RYCPE

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/P23RYCPEFWVBB6CJRZWBZMHIS2 \
  | 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: 7eb71c09e42daa10f8498e6c1cb0e896a61828f6e275ece5a8d597a52446c56f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff69ea368db7ba0f9b5f55faec8be716c1cde400ce5cef6073ce2cf8c24b0792",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2012-10-28T19:15:39Z",
    "title_canon_sha256": "ef4921caddf4d12470cf99c615912207c48bd2c9b7584328dc1818e25d5da547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7493",
    "kind": "arxiv",
    "version": 1
  }
}