Pith Number

pith:WQY6TJQ2

pith:2013:WQY6TJQ2N2Z35ELY2XE2HGXZX3

not attested not anchored not stored refs pending

Residual properties of automorphism groups of (relatively) hyperbolic groups

Ashot Minasyan, Gilbert Levitt

arxiv:1305.5403 v3 · 2013-05-23 · 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{WQY6TJQ2N2Z35ELY2XE2HGXZX3}

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	2026-05-18T01:22:25.329070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b431e9a61a6eb3be9178d5c9a39af9bec6e4eb4dbfd7c898fd43d5bef4f2188a

Aliases

arxiv: 1305.5403 · arxiv_version: 1305.5403v3 · doi: 10.48550/arxiv.1305.5403 · pith_short_12: WQY6TJQ2N2Z3 · pith_short_16: WQY6TJQ2N2Z35ELY · pith_short_8: WQY6TJQ2

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/WQY6TJQ2N2Z35ELY2XE2HGXZX3 \
  | 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: b431e9a61a6eb3be9178d5c9a39af9bec6e4eb4dbfd7c898fd43d5bef4f2188a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc4aa72a86938fc8cb9d0ec5dce3a072095609329d30d1f54abae7f465cb0f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-23T12:55:40Z",
    "title_canon_sha256": "84a029c05efe0691def460ef444a86821157a9e3defbc6c41b644fc38cbfeb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5403",
    "kind": "arxiv",
    "version": 3
  }
}