Pith Number

pith:52BPVSTK

pith:2016:52BPVSTKCEAQNR3BU3MIYHQBDZ

not attested not anchored not stored refs pending

On the Dependence of Quantum States on the Value of Planck's Constant

Makan Mohageg, Maurice de Gosson

arxiv:1612.05578 v1 · 2016-12-16 · quant-ph · gr-qc · 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{52BPVSTKCEAQNR3BU3MIYHQBDZ}

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	2026-05-18T00:54:51.500944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee82faca6a110106c761a6d88c1e011e76bf4c0d1ff8bad36c61a17a7959aeba

Aliases

arxiv: 1612.05578 · arxiv_version: 1612.05578v1 · doi: 10.48550/arxiv.1612.05578 · pith_short_12: 52BPVSTKCEAQ · pith_short_16: 52BPVSTKCEAQNR3B · pith_short_8: 52BPVSTK

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/52BPVSTKCEAQNR3BU3MIYHQBDZ \
  | 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: ee82faca6a110106c761a6d88c1e011e76bf4c0d1ff8bad36c61a17a7959aeba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f445000196c5962c76db87d91a71348bc0488c23a4cdd54fef2ce69eb71604",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-16T18:18:37Z",
    "title_canon_sha256": "e45ab36972fb2b453af968a49aca5f2164910fdf9bbf90cc474a6f2735bca80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05578",
    "kind": "arxiv",
    "version": 1
  }
}