Pith Number

pith:6PRHRHZI

pith:2011:6PRHRHZIMHZTI7DEK64YLAK6BV

not attested not anchored not stored refs pending

Spectra of Harmonium in a magnetic field using an initial value representation of the semiclassical propagator

Frank Grossmann, Tobias Kramer

arxiv:1110.2900 v1 · 2011-10-13 · quant-ph · 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{6PRHRHZIMHZTI7DEK64YLAK6BV}

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	2026-05-18T01:13:38.492443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e2789f2861f3347c6457b985815e0d47a70ba4b928e01fd333aefdb838878f

Aliases

arxiv: 1110.2900 · arxiv_version: 1110.2900v1 · doi: 10.48550/arxiv.1110.2900 · pith_short_12: 6PRHRHZIMHZT · pith_short_16: 6PRHRHZIMHZTI7DE · pith_short_8: 6PRHRHZI

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/6PRHRHZIMHZTI7DEK64YLAK6BV \
  | 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: f3e2789f2861f3347c6457b985815e0d47a70ba4b928e01fd333aefdb838878f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531e33c9fdf83ae818a91823ab71e034a425f0df112465a84f2ec4990db9f189",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-13T11:42:02Z",
    "title_canon_sha256": "1e0c44745014a204a54e0534819e42d4e1b36f2dc9e388db319a4e6ec8714edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2900",
    "kind": "arxiv",
    "version": 1
  }
}