Pith Number

pith:L42PJOCC

pith:2012:L42PJOCCU4VMBO7TEFAHIE4PQN

not attested not anchored not stored refs pending

Characterizations of strong semilinear embeddings in terms of general linear and projective linear groups

Mark Pankov

arxiv:1207.3593 v3 · 2012-07-16 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L42PJOCCU4VMBO7TEFAHIE4PQN}

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	2026-05-18T03:41:12.351287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f34f4b842a72ac0bbf3214074138f835b8f2d39d918ae6c889f9ad9b066eb10

Aliases

arxiv: 1207.3593 · arxiv_version: 1207.3593v3 · doi: 10.48550/arxiv.1207.3593 · pith_short_12: L42PJOCCU4VM · pith_short_16: L42PJOCCU4VMBO7T · pith_short_8: L42PJOCC

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/L42PJOCCU4VMBO7TEFAHIE4PQN \
  | 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: 5f34f4b842a72ac0bbf3214074138f835b8f2d39d918ae6c889f9ad9b066eb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf28887fe97565ed48bd99736d2cac950a89d80b13a1c9ce19e0226bc5f4a08c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-16T08:03:16Z",
    "title_canon_sha256": "5feac2ac4d2da9cbdeb954cf22684f6d7ee3a090b5c87fda97bbcb69901444f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3593",
    "kind": "arxiv",
    "version": 3
  }
}