Pith Number

pith:7V3X4QBS

pith:2013:7V3X4QBSXMCX6VCDLGZAGVQW7E

not attested not anchored not stored refs pending

Commensurating endomorphisms of acylindrically hyperbolic groups and applications

Alessandro Sisto, Ashot Minasyan, Yago Antolin

arxiv:1310.8605 v4 · 2013-10-31 · 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{7V3X4QBSXMCX6VCDLGZAGVQW7E}

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	2026-05-18T00:48:21.047961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd777e4032bb057f544359b2035616f9028896c49a8e06acc38674791e952f21

Aliases

arxiv: 1310.8605 · arxiv_version: 1310.8605v4 · doi: 10.48550/arxiv.1310.8605 · pith_short_12: 7V3X4QBSXMCX · pith_short_16: 7V3X4QBSXMCX6VCD · pith_short_8: 7V3X4QBS

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/7V3X4QBSXMCX6VCDLGZAGVQW7E \
  | 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: fd777e4032bb057f544359b2035616f9028896c49a8e06acc38674791e952f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35457ba82e3cb6777ccb6700ce380f40ebd476358419b1fa4fda4ec79b59183a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-31T17:33:52Z",
    "title_canon_sha256": "2e171293414b26d1bf740971abbba38349c6e80033a69b397fd2315a5b6919ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8605",
    "kind": "arxiv",
    "version": 4
  }
}