Pith Number

pith:H4MAVVF2

pith:2016:H4MAVVF2UGLXDZIXX3A3HPVZ4R

not attested not anchored not stored refs pending

Admitting a coarse embedding is not preserved under group extensions

Goulnara Arzhantseva, Romain Tessera

arxiv:1605.01192 v3 · 2016-05-04 · math.GR · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4MAVVF2UGLXDZIXX3A3HPVZ4R}

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	2026-05-18T00:33:53.331913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f180ad4baa19771e517bec1b3beb9e4715da7a1303bbb3f292ee3428f5231d1

Aliases

arxiv: 1605.01192 · arxiv_version: 1605.01192v3 · doi: 10.48550/arxiv.1605.01192 · pith_short_12: H4MAVVF2UGLX · pith_short_16: H4MAVVF2UGLXDZIX · pith_short_8: H4MAVVF2

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/H4MAVVF2UGLXDZIXX3A3HPVZ4R \
  | 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: 3f180ad4baa19771e517bec1b3beb9e4715da7a1303bbb3f292ee3428f5231d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb9b07569f91781a755c55c41bbc89122b074a6d8c456186bb4d21f337925a33",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-04T09:30:02Z",
    "title_canon_sha256": "5294bd35ff207bd62bd19b0e59ba27b47f5126d2d77a354493ed0415d08f7bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01192",
    "kind": "arxiv",
    "version": 3
  }
}