Pith Number

pith:M7XJWADU

pith:2021:M7XJWADUBLGVYOFTSCEIRTKTG6

not attested not anchored not stored refs pending

Most probable paths for anisotropic Brownian motions on manifolds

Erlend Grong, Stefan Sommer

arxiv:2110.15634 v2 · 2021-10-29 · math.PR · math.DG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7XJWADUBLGVYOFTSCEIRTKTG6}

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	2026-07-05T04:52:36.310086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ee9b00740acd5c38b3908888cd533790246012747b563b2d3b3639470c0443

Aliases

arxiv: 2110.15634 · arxiv_version: 2110.15634v2 · doi: 10.48550/arxiv.2110.15634 · pith_short_12: M7XJWADUBLGV · pith_short_16: M7XJWADUBLGVYOFT · pith_short_8: M7XJWADU

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/M7XJWADUBLGVYOFTSCEIRTKTG6 \
  | 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: 67ee9b00740acd5c38b3908888cd533790246012747b563b2d3b3639470c0443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82fc8724492d21621aa001df3960abad1162fd5dd68f03ddd65ae34da04fb6d6",
    "cross_cats_sorted": [
      "math.DG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-10-29T09:13:13Z",
    "title_canon_sha256": "da79307accbbe1a62930725a6213c8ec0a3bf3e602d3d0d6d7f82d39eeaf608c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.15634",
    "kind": "arxiv",
    "version": 2
  }
}