Pith Number

pith:TITKZFL4

pith:2011:TITKZFL4POB2M5P5IY4WYHOU6J

not attested not anchored not stored refs pending

Pseudo-differential Operators on Fractals

Luke G. Rogers, Marius Ionescu, Robert S. Strichartz

arxiv:1108.2246 v2 · 2011-08-10 · math.FA · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TITKZFL4POB2M5P5IY4WYHOU6J}

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	2026-05-18T03:49:58.455607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a26ac957c7b83a675fd46396c1dd4f257eddd0fad9afd49192103eb8909f4b0

Aliases

arxiv: 1108.2246 · arxiv_version: 1108.2246v2 · doi: 10.48550/arxiv.1108.2246 · pith_short_12: TITKZFL4POB2 · pith_short_16: TITKZFL4POB2M5P5 · pith_short_8: TITKZFL4

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/TITKZFL4POB2M5P5IY4WYHOU6J \
  | 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: 9a26ac957c7b83a675fd46396c1dd4f257eddd0fad9afd49192103eb8909f4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484cb3100ba241dcc19bcaae6129f283853d22c749e3cd135183480ac7661a15",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-10T18:54:56Z",
    "title_canon_sha256": "c220168f88bbe4547023ac54404a157430d3e395516826ca57e79fe8fbe34f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2246",
    "kind": "arxiv",
    "version": 2
  }
}