Pith Number

pith:5THZXZXU

pith:2013:5THZXZXUI2Y4ME7WUXAYA3GKHE

not attested not anchored not stored refs pending

Band structure in the polymer quantization of the harmonic oscillator

Eduardo J. S. Villase\~nor, J. Fernando Barbero G., Jorge Prieto

arxiv:1305.5406 v1 · 2013-05-23 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5THZXZXUI2Y4ME7WUXAYA3GKHE}

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.

Cited by

1 paper in Pith

Generalising gravitationally induced decoherence beyond linear environmental interactions in a microscopic quantum mechanical toy model

Receipt and verification

First computed	2026-05-18T03:17:56.347291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eccf9be6f446b1c613f6a5c1806cca391b62df28e4624b36226670b75ce135f3

Aliases

arxiv: 1305.5406 · arxiv_version: 1305.5406v1 · doi: 10.48550/arxiv.1305.5406 · pith_short_12: 5THZXZXUI2Y4 · pith_short_16: 5THZXZXUI2Y4ME7W · pith_short_8: 5THZXZXU

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/5THZXZXUI2Y4ME7WUXAYA3GKHE \
  | 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: eccf9be6f446b1c613f6a5c1806cca391b62df28e4624b36226670b75ce135f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76fc4bc69b83c0dafd4fdb725ebdcc42c8dd163607c139e3a3c3a656dd7fefb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-05-23T13:10:51Z",
    "title_canon_sha256": "4ebf068aeea21f3865078168d3e2ed0b3fc735adbfd1d78cdb619e0a5310ec0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5406",
    "kind": "arxiv",
    "version": 1
  }
}