Pith Number

pith:UJ7ECHRF

pith:2013:UJ7ECHRFL4C2OWWBACDOXHRMBV

not attested not anchored not stored refs pending

Maximal subgroups of multi-edge spinal groups

Anitha Thillaisundaram, Benjamin Klopsch, Theofanis Alexoudas

arxiv:1312.5615 v3 · 2013-12-19 · 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{UJ7ECHRFL4C2OWWBACDOXHRMBV}

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	2026-05-18T01:13:31.247972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27e411e255f05a75ac10086eb9e2c0d4ba6176abbe33a290dd1e97acf6b0589

Aliases

arxiv: 1312.5615 · arxiv_version: 1312.5615v3 · doi: 10.48550/arxiv.1312.5615 · pith_short_12: UJ7ECHRFL4C2 · pith_short_16: UJ7ECHRFL4C2OWWB · pith_short_8: UJ7ECHRF

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/UJ7ECHRFL4C2OWWBACDOXHRMBV \
  | 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: a27e411e255f05a75ac10086eb9e2c0d4ba6176abbe33a290dd1e97acf6b0589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5365243b6967cf57e9ba2bbcd944c43fabfa39dd7b8d668b00efeba48709af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-19T16:19:14Z",
    "title_canon_sha256": "63bd9b308f6af8c66c8ac959008ec0805eadbc97a07b4e3d504bfcc43631cd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5615",
    "kind": "arxiv",
    "version": 3
  }
}