Pith Number

pith:ETG53PWE

pith:2015:ETG53PWEPA77DQZFWASHI3HFPL

not attested not anchored not stored refs pending

On Fractional Schrodinger Equations in sobolev spaces

Yannick Sire, Younghun Hong

arxiv:1501.01414 v1 · 2015-01-07 · 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{ETG53PWEPA77DQZFWASHI3HFPL}

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	2026-05-18T02:29:54.298616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cdddbec4783ff1c325b024746ce57ae92660ff2f80f90927fd05099a88b667

Aliases

arxiv: 1501.01414 · arxiv_version: 1501.01414v1 · doi: 10.48550/arxiv.1501.01414 · pith_short_12: ETG53PWEPA77 · pith_short_16: ETG53PWEPA77DQZF · pith_short_8: ETG53PWE

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/ETG53PWEPA77DQZFWASHI3HFPL \
  | 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: 24cdddbec4783ff1c325b024746ce57ae92660ff2f80f90927fd05099a88b667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4853db1decde8786c4e33bb9d84395d87953cce28f1a533f9ab6f7892c8f4df7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-07T09:39:06Z",
    "title_canon_sha256": "6f6149aba294f220e289381a4b7352294159a1337913199baab8fa92e3b8900f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01414",
    "kind": "arxiv",
    "version": 1
  }
}