Pith Number

pith:3AB2PQJX

pith:2025:3AB2PQJXW3WFOCHSU7MCKWK53F

not attested not anchored not stored refs pending

Quasi-geodesics in the Cannon-Thurston metric

Caglar Uyanik, Catherine Pfaff, Joseph Maher, Vaibhav Gadre

arxiv:2510.04350 v3 · 2025-10-05 · math.GT · math.DS · 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{3AB2PQJXW3WFOCHSU7MCKWK53F}

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	2026-07-07T02:18:28.835412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d803a7c137b6ec5708f2a7d825595dd97941492d2f6ffbe5887ad83b27d3a0be

Aliases

arxiv: 2510.04350 · arxiv_version: 2510.04350v3 · doi: 10.48550/arxiv.2510.04350 · pith_short_12: 3AB2PQJXW3WF · pith_short_16: 3AB2PQJXW3WFOCHS · pith_short_8: 3AB2PQJX

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/3AB2PQJXW3WFOCHSU7MCKWK53F \
  | 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: d803a7c137b6ec5708f2a7d825595dd97941492d2f6ffbe5887ad83b27d3a0be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebf2bc7b95a8302dff976f4a2d8a24b795bf0234a00ee4f948fbc218f266a76",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-10-05T20:18:48Z",
    "title_canon_sha256": "2fe4d97e4bb2274679597dfbcc2a971aed567a2be6bfce7af48b170651f2789f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.04350",
    "kind": "arxiv",
    "version": 3
  }
}