Pith Number

pith:VLJJJBCH

pith:2010:VLJJJBCHVXTTBG3TX6LPJDTEMB

not attested not anchored not stored refs pending

Geometric Description of Epimorphic Subgroups

Alexey Petukhov

arxiv:1007.1348 v2 · 2010-07-08 · 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{VLJJJBCHVXTTBG3TX6LPJDTEMB}

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	2026-05-18T02:06:23.928340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad2948447ade7309b73bf96f48e646042d280d5852e1d42bca7632c9ef3a769

Aliases

arxiv: 1007.1348 · arxiv_version: 1007.1348v2 · doi: 10.48550/arxiv.1007.1348 · pith_short_12: VLJJJBCHVXTT · pith_short_16: VLJJJBCHVXTTBG3T · pith_short_8: VLJJJBCH

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/VLJJJBCHVXTTBG3TX6LPJDTEMB \
  | 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: aad2948447ade7309b73bf96f48e646042d280d5852e1d42bca7632c9ef3a769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5692721e7b8ab7ee72eb846910dffb1fa7a53b528e4c6e1d25d13e4f07acf9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-07-08T11:08:40Z",
    "title_canon_sha256": "4b3fe37a49de2e38fdd20b5439d57d21dbcae6f3997627283c74ffe3b2fd4d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1348",
    "kind": "arxiv",
    "version": 2
  }
}