Pith Number

pith:V3QAQCH4

pith:2012:V3QAQCH4EFOQWXCW4BL6Z6ONLC

not attested not anchored not stored refs pending

The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach

Jos\'e F. Cari\~nena, Manuel F. Ra\~nada, Mariano Santander

arxiv:1201.5589 v1 · 2012-01-26 · math-ph · hep-th · 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{V3QAQCH4EFOQWXCW4BL6Z6ONLC}

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	2026-05-18T04:03:45.859904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee00808fc215d0b5c56e057ecf9cd58835982aca1eddcdd63c7e7be5f2f8792

Aliases

arxiv: 1201.5589 · arxiv_version: 1201.5589v1 · doi: 10.48550/arxiv.1201.5589 · pith_short_12: V3QAQCH4EFOQ · pith_short_16: V3QAQCH4EFOQWXCW · pith_short_8: V3QAQCH4

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/V3QAQCH4EFOQWXCW4BL6Z6ONLC \
  | 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: aee00808fc215d0b5c56e057ecf9cd58835982aca1eddcdd63c7e7be5f2f8792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e66eaeaba496b471e25f225f419d6f69408e847b526763c1e7bcf5e2e69c67",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-26T17:56:38Z",
    "title_canon_sha256": "221c56cb5e4658a7ec9656683cc44e6b2a38cc65c780136aa9b48fcc4113c496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5589",
    "kind": "arxiv",
    "version": 1
  }
}