Pith Number

pith:YLUN7XWN

pith:2011:YLUN7XWNN5OTK67GTX3DP74BDL

not attested not anchored not stored refs pending

Symmetric random walks on Homeo+(R)

A. Navas, B. Deroin, K. Parwani, V. Kleptsyn

arxiv:1103.1650 v3 · 2011-03-08 · math.GR · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLUN7XWNN5OTK67GTX3DP74BDL}

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	2026-05-18T03:17:57.675764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e8dfdecd6f5d357be69df637ff811adda7fdba9ed621a7b7208a3543c56728

Aliases

arxiv: 1103.1650 · arxiv_version: 1103.1650v3 · doi: 10.48550/arxiv.1103.1650 · pith_short_12: YLUN7XWNN5OT · pith_short_16: YLUN7XWNN5OTK67G · pith_short_8: YLUN7XWN

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/YLUN7XWNN5OTK67GTX3DP74BDL \
  | 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: c2e8dfdecd6f5d357be69df637ff811adda7fdba9ed621a7b7208a3543c56728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a47f81d8763d52aa7a61a7d03d5dd954fd6d2c22171af0c1da584dd2cd29005",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-08T21:30:04Z",
    "title_canon_sha256": "d5814c78d079bf74e9c46f8ce68d9719c513db02ee3089a907545ca9132b1c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1650",
    "kind": "arxiv",
    "version": 3
  }
}