Pith Number

pith:ZDVW5L6U

pith:2014:ZDVW5L6U246H3L7R44OXYRTNPA

not attested not anchored not stored refs pending

Hyperbolic Space Has Strong Negative Type

Russell Lyons

arxiv:1408.2600 v2 · 2014-08-12 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDVW5L6U246H3L7R44OXYRTNPA}

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	2026-05-18T00:06:21.152570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8eb6eafd4d73c7daff1e71d7c466d780b0600c409dd16b9190f0ba5c94e5a41

Aliases

arxiv: 1408.2600 · arxiv_version: 1408.2600v2 · doi: 10.48550/arxiv.1408.2600 · pith_short_12: ZDVW5L6U246H · pith_short_16: ZDVW5L6U246H3L7R · pith_short_8: ZDVW5L6U

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/ZDVW5L6U246H3L7R44OXYRTNPA \
  | 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: c8eb6eafd4d73c7daff1e71d7c466d780b0600c409dd16b9190f0ba5c94e5a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44821eb259d67968925fbf0a2073f8ec23dd9e9a83f039d28e942252f0e63201",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-08-12T01:48:02Z",
    "title_canon_sha256": "62cd15ec2f03da3d3ab053c2d05839ae1d9f132331b3937dc2191b5efe6474c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2600",
    "kind": "arxiv",
    "version": 2
  }
}