Pith Number

pith:WTZ4CXYN

pith:2005:WTZ4CXYNZJ4KALRW4P4TEVYDXP

not attested not anchored not stored refs pending

Quantum Correction in Exact Quantization Rules

Bo-Wei Xu, Zhong-Qi Ma

arxiv:physics/0502109 v1 · 2005-02-21 · physics.comp-ph · physics.atom-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{WTZ4CXYNZJ4KALRW4P4TEVYDXP}

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	2026-05-18T01:38:07.877681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f3c15f0dca78a02e36e3f9325703bbce176896f9844484ea2fa69c4db24bfe

Aliases

arxiv: physics/0502109 · arxiv_version: physics/0502109v1 · doi: 10.48550/arxiv.physics/0502109 · pith_short_12: WTZ4CXYNZJ4K · pith_short_16: WTZ4CXYNZJ4KALRW · pith_short_8: WTZ4CXYN

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/WTZ4CXYNZJ4KALRW4P4TEVYDXP \
  | 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: b4f3c15f0dca78a02e36e3f9325703bbce176896f9844484ea2fa69c4db24bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372ded1d716289271ace06d9936d207d04e98b0a9a6c2fdfaf9d3e8e897c94fd",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2005-02-21T08:00:44Z",
    "title_canon_sha256": "c216090b1359bfb2b3eab71d5554af82d067cdd38c514912397c830a1d84d3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0502109",
    "kind": "arxiv",
    "version": 1
  }
}