Pith Number

pith:TLIQ7LPZ

pith:2016:TLIQ7LPZONY7VVGBAZEWTTRANV

not attested not anchored not stored refs pending

Rapid Mixing of Geodesic Walks on Manifolds with Positive Curvature

Aaron Smith, Oren Mangoubi

arxiv:1609.02901 v2 · 2016-09-09 · math.PR · cs.DS · math.DG · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLIQ7LPZONY7VVGBAZEWTTRANV}

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	2026-05-18T00:29:39.525600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad10fadf97371fad4c1064969ce206d6b7fb9a1e88214bb0506f7ca46c99006

Aliases

arxiv: 1609.02901 · arxiv_version: 1609.02901v2 · doi: 10.48550/arxiv.1609.02901 · pith_short_12: TLIQ7LPZONY7 · pith_short_16: TLIQ7LPZONY7VVGB · pith_short_8: TLIQ7LPZ

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/TLIQ7LPZONY7VVGBAZEWTTRANV \
  | 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: 9ad10fadf97371fad4c1064969ce206d6b7fb9a1e88214bb0506f7ca46c99006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8a7f03588b15b643885d8e58e45944ca33ef1e5735ce20714efcc5a446a82e",
    "cross_cats_sorted": [
      "cs.DS",
      "math.DG",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-09T19:34:15Z",
    "title_canon_sha256": "bc8305ddf1e1f6fc6f701d8ad9c68f301be98131af2c13ee2489749bde0f7c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02901",
    "kind": "arxiv",
    "version": 2
  }
}