Pith Number

pith:7Y65VGXN

pith:2001:7Y65VGXNKD2Z7AAJTRQ6IMK2EM

not attested not anchored not stored refs pending

The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code

B. R. Barrett, D. Germanas, G. P. Kamuntavicius, R. K. Kalinauskas, S. Mickevicius

arxiv:nucl-th/0105009 v1 · 2001-05-04 · nucl-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{7Y65VGXNKD2Z7AAJTRQ6IMK2EM}

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	2026-07-04T16:28:30.899179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3dda9aed50f59f80099c61e4315a231fb7a51d0d15cfa1d3f52acae62772df

Aliases

arxiv: nucl-th/0105009 · arxiv_version: nucl-th/0105009v1 · doi: 10.48550/arxiv.nucl-th/0105009 · pith_short_12: 7Y65VGXNKD2Z · pith_short_16: 7Y65VGXNKD2Z7AAJ · pith_short_8: 7Y65VGXN

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/7Y65VGXNKD2Z7AAJTRQ6IMK2EM \
  | 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: fe3dda9aed50f59f80099c61e4315a231fb7a51d0d15cfa1d3f52acae62772df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b6612320a27d545f99c9bfb61ce8808c36b79117d4d62be15f1eda061e4250",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2001-05-04T10:49:57Z",
    "title_canon_sha256": "365dd03cc6bb44c32a5252c4e53e2b85bbe67a7d1d30c5d499374d911fb6aa41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0105009",
    "kind": "arxiv",
    "version": 1
  }
}