Pith Number

pith:OD6X4YPJ

pith:2016:OD6X4YPJ2CSPK4E4IQY2OW7X5F

not attested not anchored not stored refs pending

Numerical analysis of lognormal diffusions on the sphere

Annika Lang, Christoph Schwab, Lukas Herrmann

arxiv:1601.02500 v2 · 2016-01-11 · math.PR · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OD6X4YPJ2CSPK4E4IQY2OW7X5F}

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	2026-06-04T17:09:52.735087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fd7e61e9d0a4f5709c4431a75bf7e9709b90fc95771a549618858d38946540

Aliases

arxiv: 1601.02500 · arxiv_version: 1601.02500v2 · doi: 10.48550/arxiv.1601.02500 · pith_short_12: OD6X4YPJ2CSP · pith_short_16: OD6X4YPJ2CSPK4E4 · pith_short_8: OD6X4YPJ

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/OD6X4YPJ2CSPK4E4IQY2OW7X5F \
  | 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: 70fd7e61e9d0a4f5709c4431a75bf7e9709b90fc95771a549618858d38946540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184e016824067ee6dcbced0f526d4cb3e01be01cd2ec8e5e6fe1caace895adaf",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-11T16:08:40Z",
    "title_canon_sha256": "78478f872c4f2ca317c3f25af751c3ee24a8d479b00f3e85e927acb5fba9e12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02500",
    "kind": "arxiv",
    "version": 2
  }
}