Pith Number

pith:WT4UG4XI

pith:2011:WT4UG4XIIBBKJ4ZJCL6ZDUEV23

not attested not anchored not stored refs pending

On the causality of real-valued semigroups and diffusion

Richard Kowar

arxiv:1102.3280 v1 · 2011-02-16 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT4UG4XIIBBKJ4ZJCL6ZDUEV23}

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	2026-05-18T04:01:02.070673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f94372e84042a4f32912fd91d095d6f4e3ad872d5fe5166fdc4e0c16bf32d2

Aliases

arxiv: 1102.3280 · arxiv_version: 1102.3280v1 · doi: 10.48550/arxiv.1102.3280 · pith_short_12: WT4UG4XIIBBK · pith_short_16: WT4UG4XIIBBKJ4ZJ · pith_short_8: WT4UG4XI

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/WT4UG4XIIBBKJ4ZJCL6ZDUEV23 \
  | 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: b4f94372e84042a4f32912fd91d095d6f4e3ad872d5fe5166fdc4e0c16bf32d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4704c8ac2a280e617733d7cc242b7a3757d58334690ad45199aecaf11f3cac1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-16T10:02:10Z",
    "title_canon_sha256": "b6c3e2e20fb5a7c871e19c6d9ec89a7129d5183cfea942b1e754d456b3e584c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3280",
    "kind": "arxiv",
    "version": 1
  }
}