Pith Number

pith:R5NPFN5O

pith:2014:R5NPFN5OMAGRS26Z2A5SWPOA6L

not attested not anchored not stored refs pending

A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications

Hiroki Kondo, Setsuo Taniguchi

arxiv:1410.2925 v2 · 2014-10-10 · 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{R5NPFN5OMAGRS26Z2A5SWPOA6L}

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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	2026-05-18T00:52:04.405566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5af2b7ae600d196bd9d03b2b3dc0f2da4be4d9df8ce2710b197a3f12adbd2b

Aliases

arxiv: 1410.2925 · arxiv_version: 1410.2925v2 · doi: 10.48550/arxiv.1410.2925 · pith_short_12: R5NPFN5OMAGR · pith_short_16: R5NPFN5OMAGRS26Z · pith_short_8: R5NPFN5O

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/R5NPFN5OMAGRS26Z2A5SWPOA6L \
  | 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: 8f5af2b7ae600d196bd9d03b2b3dc0f2da4be4d9df8ce2710b197a3f12adbd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75644c19675132513efe763b2ba9f452fe3d6a3d52069e8f0fbe11f9d4e53c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-10T23:22:55Z",
    "title_canon_sha256": "ccececfb5b0061a64b10332146b6e4db0f461fd0239f56f5eeb39c4b79d192ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2925",
    "kind": "arxiv",
    "version": 2
  }
}