Pith Number

pith:VDW25ODL

pith:2025:VDW25ODLLNF7MLIOUQCUF6CNEF

not attested not anchored not stored refs pending

The Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactions

Andrea Posilicano, Claudio Cacciapuoti, Hamidreza Saberbaghi

arxiv:2506.21457 v2 · 2025-06-26 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDW25ODLLNF7MLIOUQCUF6CNEF}

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	2026-05-20T01:04:55.548997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8edaeb86b5b4bf62d0ea40542f84d2171b6692345fe7cc0fbc931f9c4d67c2f

Aliases

arxiv: 2506.21457 · arxiv_version: 2506.21457v2 · doi: 10.48550/arxiv.2506.21457 · pith_short_12: VDW25ODLLNF7 · pith_short_16: VDW25ODLLNF7MLIO · pith_short_8: VDW25ODL

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/VDW25ODLLNF7MLIOUQCUF6CNEF \
  | 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: a8edaeb86b5b4bf62d0ea40542f84d2171b6692345fe7cc0fbc931f9c4d67c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d21b1b95ccc2e4135e04c0ed67c547ab1f0f98cffb0dffeee140f6b5f38a1e",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-26T16:37:08Z",
    "title_canon_sha256": "35d7ce247204ab697e41dffd6e0b7079a7ed143a228065e392b5ebcd44d65bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21457",
    "kind": "arxiv",
    "version": 2
  }
}