Pith Number

pith:7I33BGFT

pith:2013:7I33BGFTTOQ7UAIRQQGR6W5E4U

not attested not anchored not stored refs pending

Schr\"odinger Equation on Fractals Curves Imbedding in $R^3$

Alireza Khalili Golmankhaneh, Dumitru Baleanu

arxiv:1308.0291 v2 · 2013-08-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I33BGFTTOQ7UAIRQQGR6W5E4U}

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	2026-05-18T02:43:36.899846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa37b098b39ba1fa0111840d1f5ba4e510570b79d1b98bf527973854ad0a6caf

Aliases

arxiv: 1308.0291 · arxiv_version: 1308.0291v2 · doi: 10.48550/arxiv.1308.0291 · pith_short_12: 7I33BGFTTOQ7 · pith_short_16: 7I33BGFTTOQ7UAIR · pith_short_8: 7I33BGFT

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/7I33BGFTTOQ7UAIRQQGR6W5E4U \
  | 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: fa37b098b39ba1fa0111840d1f5ba4e510570b79d1b98bf527973854ad0a6caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7e194a6a8ffde611492867f182fa8701b3d30c1d96be867bea518420f2be58",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-01T18:28:29Z",
    "title_canon_sha256": "e9d359b3e43d2bd28f5a28c45dcd52b415b419ecaf409fd85f64615d1103a398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0291",
    "kind": "arxiv",
    "version": 2
  }
}