Pith Number

pith:FC5F3HEJ

pith:2015:FC5F3HEJTWXQGQFUZXP2YVNL32

not attested not anchored not stored refs pending

Coupling the Kolmogorov Diffusion: maximality and efficiency considerations

Sayan Banerjee, Wilfrid S. Kendall

arxiv:1506.04804 v3 · 2015-06-16 · 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{FC5F3HEJTWXQGQFUZXP2YVNL32}

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	2026-05-18T01:21:01.052610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ba5d9c899daf0340b4cddfac55abdeb5656a595f4ae2f36015b12b35e3b871

Aliases

arxiv: 1506.04804 · arxiv_version: 1506.04804v3 · doi: 10.48550/arxiv.1506.04804 · pith_short_12: FC5F3HEJTWXQ · pith_short_16: FC5F3HEJTWXQGQFU · pith_short_8: FC5F3HEJ

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/FC5F3HEJTWXQGQFUZXP2YVNL32 \
  | 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: 28ba5d9c899daf0340b4cddfac55abdeb5656a595f4ae2f36015b12b35e3b871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b795b7cfd73f56e02d21b78f71891590323866b9805296893f1a589da5a057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-16T00:39:37Z",
    "title_canon_sha256": "5d32029add103fa944ec95c0e9645dc4664a90c18af251c7ffca588c597fa196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04804",
    "kind": "arxiv",
    "version": 3
  }
}