Pith Number

pith:4MK7ZTD4

pith:2012:4MK7ZTD4X3YPLYECYGKIEV7IMY

not attested not anchored not stored refs pending

Aspects of the Coarse-Grained-Based Approach to a Low-Relativistic Fractional Schr\"odinger Equation

A. Cherman, C. F. L. Godinho, J. A. Helay\"el-Neto, J. Weberszpil

arxiv:1206.2513 v3 · 2012-06-12 · math-ph · hep-th · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MK7ZTD4X3YPLYECYGKIEV7IMY}

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	2026-05-18T03:20:09.840608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e315fccc7cbef0f5e082c1948257e866341b74482d2cae9229c0558a7ce3fcd1

Aliases

arxiv: 1206.2513 · arxiv_version: 1206.2513v3 · doi: 10.48550/arxiv.1206.2513 · pith_short_12: 4MK7ZTD4X3YP · pith_short_16: 4MK7ZTD4X3YPLYEC · pith_short_8: 4MK7ZTD4

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/4MK7ZTD4X3YPLYECYGKIEV7IMY \
  | 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: e315fccc7cbef0f5e082c1948257e866341b74482d2cae9229c0558a7ce3fcd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0475f00b71918a4a948d950bc1acc6a5a9db8714365d3f3f90fdd1b715baed8a",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-12T12:44:44Z",
    "title_canon_sha256": "934ce18feae358537634003ea5e05f2bed8d50181eeb2d89bd68ece2f35f8d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2513",
    "kind": "arxiv",
    "version": 3
  }
}