Pith Number

pith:MGKWTJFJ

pith:2011:MGKWTJFJBKNBRJF2WHXTFPEKWJ

not attested not anchored not stored refs pending

Long time, large scale limit of the Wigner transform for a system of linear oscillators in one dimension

{\L}ukasz St\c{e}pie\'n, Tomasz Komorowski

arxiv:1108.0086 v3 · 2011-07-30 · 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{MGKWTJFJBKNBRJF2WHXTFPEKWJ}

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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	2026-05-18T01:09:25.339851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619569a4a90a9a18a4bab1ef32bc8ab254ee7ce996ed86b3ebda3d59eb97b49e

Aliases

arxiv: 1108.0086 · arxiv_version: 1108.0086v3 · doi: 10.48550/arxiv.1108.0086 · pith_short_12: MGKWTJFJBKNB · pith_short_16: MGKWTJFJBKNBRJF2 · pith_short_8: MGKWTJFJ

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/MGKWTJFJBKNBRJF2WHXTFPEKWJ \
  | 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: 619569a4a90a9a18a4bab1ef32bc8ab254ee7ce996ed86b3ebda3d59eb97b49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7afcfec2e0b586bfce3143392d4d763f19f0fb8f3dd953da1d5acbb01a21545",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-30T16:00:25Z",
    "title_canon_sha256": "f30cc8f54d3f909b49ee4d3d8a2c61d1a858846c0080f3d85d03ed9fa5d4bcfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0086",
    "kind": "arxiv",
    "version": 3
  }
}