Pith Number

pith:MIOPQL7R

pith:2013:MIOPQL7RNJNDOG5EMEEPSJ6ICW

not attested not anchored not stored refs pending

Smoothing properties of inhomogeneous equations via canonical transforms

Michael Ruzhansky, Mitsuru Sugimoto

arxiv:1302.6271 v1 · 2013-02-25 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIOPQL7RNJNDOG5EMEEPSJ6ICW}

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	2026-05-18T01:30:08.647618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621cf82ff16a5a371ba46108f927c815b05ee51fb32df7b7e70089f64665b75e

Aliases

arxiv: 1302.6271 · arxiv_version: 1302.6271v1 · doi: 10.48550/arxiv.1302.6271 · pith_short_12: MIOPQL7RNJND · pith_short_16: MIOPQL7RNJNDOG5E · pith_short_8: MIOPQL7R

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/MIOPQL7RNJNDOG5EMEEPSJ6ICW \
  | 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: 621cf82ff16a5a371ba46108f927c815b05ee51fb32df7b7e70089f64665b75e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305599fcb54f9b9685a1b9d16da3b062aee499c3682bd4cffd3e00b90ce8b3b7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-25T23:01:40Z",
    "title_canon_sha256": "adefbad375dd66f856179782eb5e1d6eac1353b051c0286a936a7454d2173492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6271",
    "kind": "arxiv",
    "version": 1
  }
}