Pith Number

pith:5FBMWGUX

pith:2011:5FBMWGUXCO54RJULFIM526YXTG

not attested not anchored not stored refs pending

The homogeneous geometries of real hyperbolic space

Andrew Swann, Marco Castrillon Lopez, P. M. Gadea

arxiv:1111.5723 v1 · 2011-11-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FBMWGUXCO54RJULFIM526YXTG}

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	2026-05-18T04:07:42.487775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e942cb1a9713bbc8a68b2a19dd7b179986609db3d5ace7c3f7a902cf45c71aa3

Aliases

arxiv: 1111.5723 · arxiv_version: 1111.5723v1 · doi: 10.48550/arxiv.1111.5723 · pith_short_12: 5FBMWGUXCO54 · pith_short_16: 5FBMWGUXCO54RJUL · pith_short_8: 5FBMWGUX

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/5FBMWGUXCO54RJULFIM526YXTG \
  | 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: e942cb1a9713bbc8a68b2a19dd7b179986609db3d5ace7c3f7a902cf45c71aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89348c5ae26942f330e530c5e8b3d42dc85b1beb9e2d528144a0785898be9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-24T11:12:30Z",
    "title_canon_sha256": "501d659852eb44be392f606ec897ff6ef13c9de1c10e8669eaefe7b74c9e657f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5723",
    "kind": "arxiv",
    "version": 1
  }
}