Pith Number

pith:ZYHE47B2

pith:2008:ZYHE47B22COSLFO5ELIL2YCXR6

not attested not anchored not stored refs pending

Entropic bounds on semiclassical measures for quantized one-dimensional maps

Boris Gutkin

arxiv:0802.3400 v1 · 2008-02-22 · 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{ZYHE47B22COSLFO5ELIL2YCXR6}

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	2026-05-18T02:16:00.904385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0e4e7c3ad09d2595dd22d0bd60578fa91e4f3f2ac0dcb880e9c464cfb57e2f

Aliases

arxiv: 0802.3400 · arxiv_version: 0802.3400v1 · doi: 10.48550/arxiv.0802.3400 · pith_short_12: ZYHE47B22COS · pith_short_16: ZYHE47B22COSLFO5 · pith_short_8: ZYHE47B2

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/ZYHE47B22COSLFO5ELIL2YCXR6 \
  | 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: ce0e4e7c3ad09d2595dd22d0bd60578fa91e4f3f2ac0dcb880e9c464cfb57e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37829c33252e7b73b6128d570e3fe4e7d848917abd00834212441b9b31fec6ce",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-02-22T22:37:50Z",
    "title_canon_sha256": "848c09fbc4d041fa1cf426771c7fb20eab6d7b8862363ad7321e3c797958bd7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3400",
    "kind": "arxiv",
    "version": 1
  }
}