Pith Number

pith:ABGJG72P

pith:2015:ABGJG72PAOSYA4D6AIPTTFPCDM

not attested not anchored not stored refs pending

The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario

J. A. Nogueira, J. C. Fabris, T. S. Quintela Jr.

arxiv:1510.08129 v2 · 2015-10-27 · hep-th · astro-ph.HE · 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{ABGJG72PAOSYA4D6AIPTTFPCDM}

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	2026-05-18T01:04:41.633277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004c937f4f03a580707e021f3995e21b0bfcd1ddf74712baba31fbf2b5539aa3

Aliases

arxiv: 1510.08129 · arxiv_version: 1510.08129v2 · doi: 10.48550/arxiv.1510.08129 · pith_short_12: ABGJG72PAOSY · pith_short_16: ABGJG72PAOSYA4D6 · pith_short_8: ABGJG72P

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/ABGJG72PAOSYA4D6AIPTTFPCDM \
  | 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: 004c937f4f03a580707e021f3995e21b0bfcd1ddf74712baba31fbf2b5539aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517dc5d9b4955209edd690ecfb6f2ca93902a0f566bfbdbbb5f352ef0d1e35fb",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-27T23:31:35Z",
    "title_canon_sha256": "bacbddf3f797b806853c2afa3144d42a3513ad09bf9765f8d264556905e8f557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08129",
    "kind": "arxiv",
    "version": 2
  }
}