Pith Number

pith:S66OYJM6

pith:2026:S66OYJM6NEMNAJHXVLN5ZEVLJX

not attested not anchored not stored refs pending

Cellular waists of hyperbolic spaces

Grigori Avramidi, Thomas Delzant

arxiv:2606.13585 v1 · 2026-06-11 · math.GT · 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{S66OYJM6NEMNAJHXVLN5ZEVLJX}

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	2026-06-12T01:10:11.617639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bcec259e6918d024f7aadbdc92ab4dd9bc80bf2b7a53b3afbbac7100956852

Aliases

arxiv: 2606.13585 · arxiv_version: 2606.13585v1 · doi: 10.48550/arxiv.2606.13585 · pith_short_12: S66OYJM6NEMN · pith_short_16: S66OYJM6NEMNAJHX · pith_short_8: S66OYJM6

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/S66OYJM6NEMNAJHXVLN5ZEVLJX \
  | 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: 97bcec259e6918d024f7aadbdc92ab4dd9bc80bf2b7a53b3afbbac7100956852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd1aa9bcf74ba238a4335948ae7b61c3707466508b67847621dce1a55633bd5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-11T17:08:59Z",
    "title_canon_sha256": "9a938061eb75e91bbd2cf766b28ccd6466091b9e36523c3f0a2e2254367830fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13585",
    "kind": "arxiv",
    "version": 1
  }
}