Pith Number

pith:GA6AC5ON

pith:2013:GA6AC5ON5MUW6WKU4HQOXJ35UP

not attested not anchored not stored refs pending

On the Dipole Approximation with Error Estimates

Lea Bo{\ss}mann, Martin Kolb, Robert Grummt

arxiv:1309.1655 v3 · 2013-09-06 · math-ph · math.MP · quant-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{GA6AC5ON5MUW6WKU4HQOXJ35UP}

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	2026-05-18T00:19:31.339661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303c0175cdeb296f5954e1e0eba77da3ec1d81dcd02e409f5397ac1fc032e967

Aliases

arxiv: 1309.1655 · arxiv_version: 1309.1655v3 · doi: 10.48550/arxiv.1309.1655 · pith_short_12: GA6AC5ON5MUW · pith_short_16: GA6AC5ON5MUW6WKU · pith_short_8: GA6AC5ON

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/GA6AC5ON5MUW6WKU4HQOXJ35UP \
  | 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: 303c0175cdeb296f5954e1e0eba77da3ec1d81dcd02e409f5397ac1fc032e967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a7c55be1982079f63d3313c448dfd8e71e1fd29b47d787537bd0d21b7501e5",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-06T14:40:32Z",
    "title_canon_sha256": "ec0c550484515b57d5e668e0b68fe194f40cf326973b6655943ea5bef9cb955d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1655",
    "kind": "arxiv",
    "version": 3
  }
}