Pith Number

pith:C66MTXBD

pith:2016:C66MTXBDXID6SM2CM7XJ3ND4QG

not attested not anchored not stored refs pending

The time fractional Schr\"odinger equation on Hilbert space

Humberto Prado, Juan Trujillo, Przemys{\l}aw G\'orka

arxiv:1611.08899 v1 · 2016-11-27 · 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{C66MTXBDXID6SM2CM7XJ3ND4QG}

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	2026-05-18T00:56:29.895005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17bcc9dc23ba07e9334267ee9db47c81be254d056b7a57a2285e96fa2085a21f

Aliases

arxiv: 1611.08899 · arxiv_version: 1611.08899v1 · doi: 10.48550/arxiv.1611.08899 · pith_short_12: C66MTXBDXID6 · pith_short_16: C66MTXBDXID6SM2C · pith_short_8: C66MTXBD

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/C66MTXBDXID6SM2CM7XJ3ND4QG \
  | 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: 17bcc9dc23ba07e9334267ee9db47c81be254d056b7a57a2285e96fa2085a21f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9fd93de8cd52fc6a6bbfece33c69081b62f0fcbdba1cb43cfd200e1d975e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-27T19:49:36Z",
    "title_canon_sha256": "08526889dbb6d5cfb539b4cb57bad4c75a1b22e6de3034c9e8d2da8b47e21d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08899",
    "kind": "arxiv",
    "version": 1
  }
}