Pith Number

pith:HFPPDLP3

pith:2007:HFPPDLP3KE26O4SBYVJLTXBEP6

not attested not anchored not stored refs pending

Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies

A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem

arxiv:0709.2931 v1 · 2007-09-18 · physics.atom-ph · physics.chem-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{HFPPDLP3KE26O4SBYVJLTXBEP6}

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	2026-05-18T04:09:14.466097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395ef1adfb5135e77241c552b9dc247fb0f1352284f5a0f89d3bb671576b94c9

Aliases

arxiv: 0709.2931 · arxiv_version: 0709.2931v1 · doi: 10.48550/arxiv.0709.2931 · pith_short_12: HFPPDLP3KE26 · pith_short_16: HFPPDLP3KE26O4SB · pith_short_8: HFPPDLP3

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/HFPPDLP3KE26O4SBYVJLTXBEP6 \
  | 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: 395ef1adfb5135e77241c552b9dc247fb0f1352284f5a0f89d3bb671576b94c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472b0cb82f43247a7c736edf2dd27f4d8f5d68c67c6f3582d15cfa0dc4ef4dc3",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2007-09-18T22:31:46Z",
    "title_canon_sha256": "e3bb3de49d09595a7052d9547e5c8c5906313ed7ba9b2e10f2672c918100a1fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2931",
    "kind": "arxiv",
    "version": 1
  }
}