Pith Number

pith:RLN45ZNE

pith:2015:RLN45ZNE3EF53IAI6Z66HKYRRT

not attested not anchored not stored refs pending

On the ${\mathcal R}$-boundedness for the two phase problem with phase transition: compressible-incompressible model problem

Yoshihiro Shibata

arxiv:1501.02301 v1 · 2015-01-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLN45ZNE3EF53IAI6Z66HKYRRT}

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	2026-05-18T02:29:38.314479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8adbcee5a4d90bdda008f67de3ab118cf47bb1829c1eef75288c492d710f32cd

Aliases

arxiv: 1501.02301 · arxiv_version: 1501.02301v1 · doi: 10.48550/arxiv.1501.02301 · pith_short_12: RLN45ZNE3EF5 · pith_short_16: RLN45ZNE3EF53IAI · pith_short_8: RLN45ZNE

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/RLN45ZNE3EF53IAI6Z66HKYRRT \
  | 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: 8adbcee5a4d90bdda008f67de3ab118cf47bb1829c1eef75288c492d710f32cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd514bb749008dfb7b4e639e3d12ead2322f2e86754c2e3496cbbe6fcbbe597",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-10T02:50:04Z",
    "title_canon_sha256": "d71d260af41f05a1cce9c42d1229f202c4e310bb9f2442eaaf59c27fde7bb8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02301",
    "kind": "arxiv",
    "version": 1
  }
}