pith. sign in
Pith Number

pith:AB7SOYGJ

pith:2016:AB7SOYGJB5X7DBFWO2XB7BNUSN
not attested not anchored not stored refs pending

Weakly amenable groups

D. Osin

arxiv:1609.03634 v1 · 2016-09-12 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AB7SOYGJB5X7DBFWO2XB7BNUSN}

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 2026-05-18T01:04:46.304512Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

007f2760c90f6ff184b676ae1f85b4937184542005a779e039df9373e1e69227

Aliases

arxiv: 1609.03634 · arxiv_version: 1609.03634v1 · doi: 10.48550/arxiv.1609.03634 · pith_short_12: AB7SOYGJB5X7 · pith_short_16: AB7SOYGJB5X7DBFW · pith_short_8: AB7SOYGJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AB7SOYGJB5X7DBFWO2XB7BNUSN \
  | 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: 007f2760c90f6ff184b676ae1f85b4937184542005a779e039df9373e1e69227
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "96a311b39d16de41f4628bbbe83826c67630c51dac67cfb821993ada553e66fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-12T23:35:52Z",
    "title_canon_sha256": "3aeac1b2f2c595ba77ebdec1e8bbfd29f092b3da398444d457419daf4a17c486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03634",
    "kind": "arxiv",
    "version": 1
  }
}