Pith Number

pith:VQPZETIK

pith:2016:VQPZETIKPSQ6RX4UAPUMMEEMUZ

not attested not anchored not stored refs pending

Simultaneous construction of hyperbolic isometries

Caglar Uyanik, Matt Clay

arxiv:1609.05579 v2 · 2016-09-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQPZETIKPSQ6RX4UAPUMMEEMUZ}

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	2026-05-18T00:20:57.204849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1f924d0a7ca1e8df9403e8c6108ca6597b306538abcd7de83aaf3b78ec6a68

Aliases

arxiv: 1609.05579 · arxiv_version: 1609.05579v2 · doi: 10.48550/arxiv.1609.05579 · pith_short_12: VQPZETIKPSQ6 · pith_short_16: VQPZETIKPSQ6RX4U · pith_short_8: VQPZETIK

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/VQPZETIKPSQ6RX4UAPUMMEEMUZ \
  | 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: ac1f924d0a7ca1e8df9403e8c6108ca6597b306538abcd7de83aaf3b78ec6a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d499478e09d9292f9e4c3805ce218b47991b4725bc89a5cb0a81b65c6b0b4617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-19T01:40:39Z",
    "title_canon_sha256": "aeb1fe3b5d84f61a581e011f1af6f30ba29d22741c2313606d4514a6262ed2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05579",
    "kind": "arxiv",
    "version": 2
  }
}