Pith Number

pith:LR3ZUQTH

pith:2012:LR3ZUQTHPTFW5XTEEC3SQU35NX

not attested not anchored not stored refs pending

Shape invariance in phase space

Constantin Rasinariu

arxiv:1204.6495 v2 · 2012-04-29 · quant-ph · hep-th · 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{LR3ZUQTHPTFW5XTEEC3SQU35NX}

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	2026-05-18T03:26:41.310902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c779a42677ccb6ede6420b728537d6df3fd045c50f65cd055dcdc949dbc3668

Aliases

arxiv: 1204.6495 · arxiv_version: 1204.6495v2 · doi: 10.48550/arxiv.1204.6495 · pith_short_12: LR3ZUQTHPTFW · pith_short_16: LR3ZUQTHPTFW5XTE · pith_short_8: LR3ZUQTH

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/LR3ZUQTHPTFW5XTEEC3SQU35NX \
  | 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: 5c779a42677ccb6ede6420b728537d6df3fd045c50f65cd055dcdc949dbc3668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd74241a77728c23a722e10fa69a8c85c6c304778ec83a83ec9045f7c07626c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-29T16:39:49Z",
    "title_canon_sha256": "49947d75cfaf4808e8e6b334e00c49bd2b0dc55a1c66e13da8d01b9be53d5f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6495",
    "kind": "arxiv",
    "version": 2
  }
}