Pith Number

pith:DAW2NB3S

pith:2015:DAW2NB3SZBJ2YP7LIFG6CNIJ7B

not attested not anchored not stored refs pending

A new Phase Space Density for Quantum Expectations

Caroline Lasser, Johannes Keller, Tomoki Ohsawa

arxiv:1506.08880 v2 · 2015-06-29 · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAW2NB3SZBJ2YP7LIFG6CNIJ7B}

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	2026-05-18T01:19:38.690263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182da68772c853ac3feb414de13509f8480bdc9a9315d0c2ae214f8f510276cd

Aliases

arxiv: 1506.08880 · arxiv_version: 1506.08880v2 · doi: 10.48550/arxiv.1506.08880 · pith_short_12: DAW2NB3SZBJ2 · pith_short_16: DAW2NB3SZBJ2YP7L · pith_short_8: DAW2NB3S

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/DAW2NB3SZBJ2YP7LIFG6CNIJ7B \
  | 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: 182da68772c853ac3feb414de13509f8480bdc9a9315d0c2ae214f8f510276cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45055a72a12e39ce5a42b8421ed137e9c2003f3330ab2e73ba4f67146ff3467",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-29T22:08:02Z",
    "title_canon_sha256": "02fa475a4f50f4dae21192bed8f414b5f9ff135d54396ca6c7db8a431cf09cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08880",
    "kind": "arxiv",
    "version": 2
  }
}