Pith Number

pith:ZIBKMOAQ

pith:2013:ZIBKMOAQKPMWHOVPYRXT5GGT5L

not attested not anchored not stored refs pending

Acylindrical hyperbolicity of groups acting on trees

Ashot Minasyan, Denis Osin

arxiv:1310.6289 v6 · 2013-10-23 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIBKMOAQKPMWHOVPYRXT5GGT5L}

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	2026-05-18T00:27:37.053288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca02a6381053d963baafc46f3e98d3ead476e2eb88631d32e4b608899e056b37

Aliases

arxiv: 1310.6289 · arxiv_version: 1310.6289v6 · doi: 10.48550/arxiv.1310.6289 · pith_short_12: ZIBKMOAQKPMW · pith_short_16: ZIBKMOAQKPMWHOVP · pith_short_8: ZIBKMOAQ

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/ZIBKMOAQKPMWHOVPYRXT5GGT5L \
  | 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: ca02a6381053d963baafc46f3e98d3ead476e2eb88631d32e4b608899e056b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9054e48b9278cff00ccb3042861ee1c149ce390ca1e60a13072f95a6758c7c12",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-23T16:49:13Z",
    "title_canon_sha256": "0de269476a2ed69ce2741f71f136d3f72188790789e5de395fea9afc75040f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6289",
    "kind": "arxiv",
    "version": 6
  }
}