Pith Number

pith:33WFE4XC

pith:2024:33WFE4XCHED6GSBMXOKARZWVBM

not attested not anchored not stored refs pending

Hyperbolic spaces that detect all strongly-contracting directions

Stefanie Zbinden

arxiv:2404.12162 v1 · 2024-04-18 · math.GR · 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{33WFE4XCHED6GSBMXOKARZWVBM}

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.

Cited by

2 papers in Pith

Weak rank rigidity for groups with a navigable path system

Connections between the topology of the Morse boundary, the Morse local-to-global property and acylindrical hyperbolicity

Receipt and verification

First computed	2026-07-05T08:09:36.149920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deec5272e23907e3482cbb9408e6d50b374ceb9d7270e69661de5d235f1c434e

Aliases

arxiv: 2404.12162 · arxiv_version: 2404.12162v1 · doi: 10.48550/arxiv.2404.12162 · pith_short_12: 33WFE4XCHED6 · pith_short_16: 33WFE4XCHED6GSBM · pith_short_8: 33WFE4XC

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/33WFE4XCHED6GSBMXOKARZWVBM \
  | 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: deec5272e23907e3482cbb9408e6d50b374ceb9d7270e69661de5d235f1c434e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b3fbda735de11f6d9b33b915a6fdc311b1c90fad20a36a7b4f20f7781022e0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-04-18T13:15:08Z",
    "title_canon_sha256": "c6e551c5d228e9e86649a096cd89defa94189038aa451f2978716a27fbad0d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.12162",
    "kind": "arxiv",
    "version": 1
  }
}