Pith Number

pith:UKZ2EH3C

pith:2026:UKZ2EH3CH5MZR2IMQZJDNZ3QY4

not attested not anchored not stored refs pending

Continuum-wise hyperbolicity is exactly the pseudo-Anosov dynamics with spine singularities

Alberto Sarmiento, Bernardo Carvalho, Piotr Oprocha, Rodrigo Arruda

arxiv:2606.11943 v1 · 2026-06-10 · math.DS · math.DG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKZ2EH3CH5MZR2IMQZJDNZ3QY4}

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	2026-06-11T01:10:17.239539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b3a21f623f5998e90c865236e770c7173cfd68a201b732732f4b8791234ab4

Aliases

arxiv: 2606.11943 · arxiv_version: 2606.11943v1 · doi: 10.48550/arxiv.2606.11943 · pith_short_12: UKZ2EH3CH5MZ · pith_short_16: UKZ2EH3CH5MZR2IM · pith_short_8: UKZ2EH3C

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/UKZ2EH3CH5MZR2IMQZJDNZ3QY4 \
  | 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: a2b3a21f623f5998e90c865236e770c7173cfd68a201b732732f4b8791234ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04b4897739ac6b86a65bc8bb8c0c8196813dd267e421ca47d9305c7619bf1a3",
    "cross_cats_sorted": [
      "math.DG",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-10T11:13:50Z",
    "title_canon_sha256": "0131a25185693394478c3a31f503964f20ad0ac47b7cf64eb75722372b4a4850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11943",
    "kind": "arxiv",
    "version": 1
  }
}