Pith Number

pith:NVCJJ7NL

pith:2019:NVCJJ7NLNVCTBCWLD4X3YO5R2Y

not attested not anchored not stored refs pending

Homogeneity of torsion-free hyperbolic groups

Ayala Dente-Byron, Chlo\'e Perin

arxiv:1907.03264 v1 · 2019-07-07 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVCJJ7NLNVCTBCWLD4X3YO5R2Y}

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	2026-05-17T23:41:16.723461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4494fdab6d45308acb1f2fbc3bb1d63a74ee59fe884bada5fda11dae1a01ba

Aliases

arxiv: 1907.03264 · arxiv_version: 1907.03264v1 · doi: 10.48550/arxiv.1907.03264 · pith_short_12: NVCJJ7NLNVCT · pith_short_16: NVCJJ7NLNVCTBCWL · pith_short_8: NVCJJ7NL

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/NVCJJ7NLNVCTBCWLD4X3YO5R2Y \
  | 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: 6d4494fdab6d45308acb1f2fbc3bb1d63a74ee59fe884bada5fda11dae1a01ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f57c2002d648b95125054b64b1d747a2416fcaf99388cc01854ce0a9a62077",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-07T10:25:35Z",
    "title_canon_sha256": "9ea27602773779d832437754e8dc654e70a9fc26b37c073c0c5cc74c048665c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03264",
    "kind": "arxiv",
    "version": 1
  }
}