Pith Number

pith:AAKT6JQZ

pith:2011:AAKT6JQZK3MDMQ4WNCU3SS6C3B

not attested not anchored not stored refs pending

Approximation of Geodesics in Metabelian Groups

A. Mohajeri Moghaddam, O. Kharlampovich

arxiv:1106.4035 v2 · 2011-06-20 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAKT6JQZK3MDMQ4WNCU3SS6C3B}

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	2026-05-18T04:12:11.634374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00153f261956d836439668a9b94bc2d8613976ee7cb22f68f62a44c55e0862b0

Aliases

arxiv: 1106.4035 · arxiv_version: 1106.4035v2 · doi: 10.48550/arxiv.1106.4035 · pith_short_12: AAKT6JQZK3MD · pith_short_16: AAKT6JQZK3MDMQ4W · pith_short_8: AAKT6JQZ

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/AAKT6JQZK3MDMQ4WNCU3SS6C3B \
  | 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: 00153f261956d836439668a9b94bc2d8613976ee7cb22f68f62a44c55e0862b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84020aa302c63682ea00ef11e11beced10ec9ffcc035a6b6a2876a49164ae189",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-20T20:39:33Z",
    "title_canon_sha256": "b0b5da0d9a72a2042227bdcb9ad63239161e5d88a3ce3dcd5733d67d7a20acc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4035",
    "kind": "arxiv",
    "version": 2
  }
}