Pith Number

pith:E7LAJIU2

pith:2010:E7LAJIU2I3NKEY2K5NA5VMAZ5C

not attested not anchored not stored refs pending

Wigner quantization of some one-dimensional Hamiltonians

Gilles Regniers, Joris Van der Jeugt

arxiv:1011.2305 v1 · 2010-11-10 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7LAJIU2I3NKEY2K5NA5VMAZ5C}

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	2026-05-18T02:04:49.436682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d604a29a46daa2634aeb41dab019e891dbd752a44587416dd3c9b8b0339b27

Aliases

arxiv: 1011.2305 · arxiv_version: 1011.2305v1 · doi: 10.48550/arxiv.1011.2305 · pith_short_12: E7LAJIU2I3NK · pith_short_16: E7LAJIU2I3NKEY2K · pith_short_8: E7LAJIU2

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/E7LAJIU2I3NKEY2K5NA5VMAZ5C \
  | 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: 27d604a29a46daa2634aeb41dab019e891dbd752a44587416dd3c9b8b0339b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d5c849fc9b91175c138e620ec3d97ba84297a027550ce0febbc65f4d6f8f19",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-10T08:26:58Z",
    "title_canon_sha256": "8c2bceaf9632faabf02dabb8f1245238615097e043a2db07c82c144e3fcce557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2305",
    "kind": "arxiv",
    "version": 1
  }
}