Pith Number

pith:EDM24KJW

pith:2006:EDM24KJW7WVGFTT37ROPEJN2I3

not attested not anchored not stored refs pending

Mass Spectrum of Dirac Equation with Local Parabolic Potential

Ying-Qiu Gu

arxiv:hep-th/0612214 v3 · 2006-12-20 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDM24KJW7WVGFTT37ROPEJN2I3}

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	2026-05-18T00:26:21.574014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20d9ae2936fdaa62ce7bfc5cf225ba46d2ef528fb20c612ef1bb0604c291b905

Aliases

arxiv: hep-th/0612214 · arxiv_version: hep-th/0612214v3 · doi: 10.48550/arxiv.hep-th/0612214 · pith_short_12: EDM24KJW7WVG · pith_short_16: EDM24KJW7WVGFTT3 · pith_short_8: EDM24KJW

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/EDM24KJW7WVGFTT37ROPEJN2I3 \
  | 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: 20d9ae2936fdaa62ce7bfc5cf225ba46d2ef528fb20c612ef1bb0604c291b905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74f037e410dd6c2ce0973ee280b8d23e7b34f8418cef03c8a5ba803a03e03e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-20T08:23:46Z",
    "title_canon_sha256": "57ece39ba3a6cf031888b2bd43857e6f76fee0b922fbd55e44b15c48b17df4b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612214",
    "kind": "arxiv",
    "version": 3
  }
}