Pith Number

pith:YVRPH5DK

pith:2017:YVRPH5DKX7QZ5NPKT2LYKGWMXZ

not attested not anchored not stored refs pending

Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings

Alessandro Sisto, Joseph Maher

arxiv:1701.00253 v1 · 2017-01-01 · math.GT · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVRPH5DKX7QZ5NPKT2LYKGWMXZ}

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.

Cited by

1 paper in Pith

Random subgroups, automorphisms, splittings

Receipt and verification

First computed	2026-05-18T00:53:35.972839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c562f3f46abfe19eb5ea9e97851accbe4e8fda150815bb3ae8cb06f334799000

Aliases

arxiv: 1701.00253 · arxiv_version: 1701.00253v1 · doi: 10.48550/arxiv.1701.00253 · pith_short_12: YVRPH5DKX7QZ · pith_short_16: YVRPH5DKX7QZ5NPK · pith_short_8: YVRPH5DK

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/YVRPH5DKX7QZ5NPKT2LYKGWMXZ \
  | 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: c562f3f46abfe19eb5ea9e97851accbe4e8fda150815bb3ae8cb06f334799000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec42050dcb4eb84322b2839d204c4b4a231e76ec8e83ec6da5b074e9558ff33",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-01-01T15:50:28Z",
    "title_canon_sha256": "d9e33e65176ba6b96f2b4ce07c1896f6e3a8142178a0703befc251f170b6e8b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00253",
    "kind": "arxiv",
    "version": 1
  }
}