Pith Number

pith:AFGRLMIP

pith:2011:AFGRLMIPFL4JP4A7WSJI2T2UG6

not attested not anchored not stored refs pending

The MOR cryptosystem and extra-special $p$-groups

Ayan Mahalanobis

arxiv:1111.1043 v1 · 2011-11-04 · 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{AFGRLMIPFL4JP4A7WSJI2T2UG6}

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	2026-05-18T04:09:35.884757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014d15b10f2af897f01fb4928d4f5437ba4525600a793477d1700efc77b82a62

Aliases

arxiv: 1111.1043 · arxiv_version: 1111.1043v1 · doi: 10.48550/arxiv.1111.1043 · pith_short_12: AFGRLMIPFL4J · pith_short_16: AFGRLMIPFL4JP4A7 · pith_short_8: AFGRLMIP

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/AFGRLMIPFL4JP4A7WSJI2T2UG6 \
  | 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: 014d15b10f2af897f01fb4928d4f5437ba4525600a793477d1700efc77b82a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbca736d8d55d586a7b4da6f28091f89b48b3ece568e8fef8f660c3d061f733",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-04T04:58:55Z",
    "title_canon_sha256": "cbb72c379bc7b3edf912a0d600c880e00bde0d63ed0c56f1e90ac8e9a27dff2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1043",
    "kind": "arxiv",
    "version": 1
  }
}