Pith Number

pith:MUOJCMAO

pith:2010:MUOJCMAO6ZCBTUHRYRRGXNFQMR

not attested not anchored not stored refs pending

The Fractionary Schr\"{o}dinger Equation, Green Functions and Ultradistributions

A. L. De Paoli, M. C. Rocca

arxiv:1010.5185 v1 · 2010-10-25 · 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{MUOJCMAO6ZCBTUHRYRRGXNFQMR}

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	2026-05-18T02:04:58.796626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651c91300ef64419d0f1c4626bb4b064716bb146cd4e23fa55c5f3b67d81f1cc

Aliases

arxiv: 1010.5185 · arxiv_version: 1010.5185v1 · doi: 10.48550/arxiv.1010.5185 · pith_short_12: MUOJCMAO6ZCB · pith_short_16: MUOJCMAO6ZCBTUHR · pith_short_8: MUOJCMAO

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/MUOJCMAO6ZCBTUHRYRRGXNFQMR \
  | 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: 651c91300ef64419d0f1c4626bb4b064716bb146cd4e23fa55c5f3b67d81f1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb4779cbe085604732a6a9e04411d2417fe97ed22ede3aac4492f1188e41f2c",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-25T16:53:02Z",
    "title_canon_sha256": "e7b3bab9812a5d7d80853f2ecdd6dfa64bed5187d7f81405987a1d1aaab1be6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5185",
    "kind": "arxiv",
    "version": 1
  }
}