Pith Number

pith:ILVKNKVH

pith:2014:ILVKNKVH3LE4B2VEKQJJSF36FQ

not attested not anchored not stored refs pending

Real-space quadrature: a convenient, efficient representation for multipole expansions

David M. Rogers

arxiv:1411.0011 v1 · 2014-10-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILVKNKVH3LE4B2VEKQJJSF36FQ}

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	2026-05-18T01:26:19.630480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42eaa6aaa7dac9c0eaa4541299177e2c0e5ccf8dff83c068617a25056826cebe

Aliases

arxiv: 1411.0011 · arxiv_version: 1411.0011v1 · doi: 10.48550/arxiv.1411.0011 · pith_short_12: ILVKNKVH3LE4 · pith_short_16: ILVKNKVH3LE4B2VE · pith_short_8: ILVKNKVH

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/ILVKNKVH3LE4B2VEKQJJSF36FQ \
  | 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: 42eaa6aaa7dac9c0eaa4541299177e2c0e5ccf8dff83c068617a25056826cebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44afb05204040e75620e9b7fe300cfc6e69afd161af179aa30e745dd4480a291",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-31T20:11:36Z",
    "title_canon_sha256": "092dcafde6f32fe37b9e200b896ec2b33b5a68ffec9dca428a06742669f0b10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0011",
    "kind": "arxiv",
    "version": 1
  }
}