Pith Number

pith:CHGTFUU4

pith:2017:CHGTFUU4L5MUTLVPFASQOVV22X

not attested not anchored not stored refs pending

Equidistribution of closed geodesics along random walk trajectories with respect to the harmonic invariant measure

Ilya Gekhtman

arxiv:1711.04985 v1 · 2017-11-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHGTFUU4L5MUTLVPFASQOVV22X}

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	2026-05-18T00:30:35.229205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11cd32d29c5f5949aeaf28250756bad5cd4c56acbac2f47031fcf8eaed119450

Aliases

arxiv: 1711.04985 · arxiv_version: 1711.04985v1 · doi: 10.48550/arxiv.1711.04985 · pith_short_12: CHGTFUU4L5MU · pith_short_16: CHGTFUU4L5MUTLVP · pith_short_8: CHGTFUU4

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/CHGTFUU4L5MUTLVPFASQOVV22X \
  | 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: 11cd32d29c5f5949aeaf28250756bad5cd4c56acbac2f47031fcf8eaed119450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531a35843b3eb55048280c7c2efb55306d26caa4be3d797722ed3165621e443d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-14T07:44:40Z",
    "title_canon_sha256": "544aaa591cf838e83bd86edb166e53960c9c296041fabb5f85bc9ebb2052c629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04985",
    "kind": "arxiv",
    "version": 1
  }
}