pith. sign in
Pith Number

pith:VSTZNCSY

pith:2011:VSTZNCSYZVJ2LOGXML4J4LB6MU
not attested not anchored not stored refs pending

Multi-channel analog of the effective-range expansion

N. Elander, S. A. Rakityansky

arxiv:1110.4991 v1 · 2011-10-22 · quant-ph · nucl-th · physics.atom-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VSTZNCSYZVJ2LOGXML4J4LB6MU}

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 2026-05-18T02:00:06.790593Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aca7968a58cd53a5b8d762f89e2c3e6523c1f3e1e0216ead6b04e1ca1be4344e

Aliases

arxiv: 1110.4991 · arxiv_version: 1110.4991v1 · doi: 10.48550/arxiv.1110.4991 · pith_short_12: VSTZNCSYZVJ2 · pith_short_16: VSTZNCSYZVJ2LOGX · pith_short_8: VSTZNCSY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VSTZNCSYZVJ2LOGXML4J4LB6MU \
  | 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: aca7968a58cd53a5b8d762f89e2c3e6523c1f3e1e0216ead6b04e1ca1be4344e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8f8e039ff11846995c3cd0cfda68eaa1e284940c9ae7df69b93be3661c528463",
    "cross_cats_sorted": [
      "nucl-th",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-22T19:24:01Z",
    "title_canon_sha256": "27629a6a718dd4eb20eeed99a3c805b997dc3d5eeb448c4e875adbaf6e384dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4991",
    "kind": "arxiv",
    "version": 1
  }
}