Pith Number

pith:WG7CSDHI

pith:2015:WG7CSDHIX6MHZAZ7YIFJEDBJH3

not attested not anchored not stored refs pending

Equivalence relations that act on bundles of hyperbolic spaces

Lewis Bowen

arxiv:1506.02727 v3 · 2015-06-08 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WG7CSDHIX6MHZAZ7YIFJEDBJH3}

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	2026-05-18T00:55:25.753608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1be290ce8bf987c833fc20a920c293ecb38e1671f59d352133774da1b16d71b

Aliases

arxiv: 1506.02727 · arxiv_version: 1506.02727v3 · doi: 10.48550/arxiv.1506.02727 · pith_short_12: WG7CSDHIX6MH · pith_short_16: WG7CSDHIX6MHZAZ7 · pith_short_8: WG7CSDHI

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/WG7CSDHIX6MHZAZ7YIFJEDBJH3 \
  | 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: b1be290ce8bf987c833fc20a920c293ecb38e1671f59d352133774da1b16d71b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74e5179cb062fd2f72512f6d6475ab55bc142ea9f498a48b3bfc5598d44521c0",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-08T23:36:10Z",
    "title_canon_sha256": "fb924444f144632ec96bedb4859edc4c904de3b4ba18b5468dad131fe1fbf794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02727",
    "kind": "arxiv",
    "version": 3
  }
}