Pith Number

pith:V72IM5WB

pith:2026:V72IM5WBS2OEITSWFZVMVIRN5G

not attested not anchored not stored refs pending

Prolate spheroidal wave functions enable fast and exponent-aware long-range machine learning interatomic potentials

Jiuyang Liang, Libin Lu, Shidong Jiang, Yajie Ji

arxiv:2606.06617 v1 · 2026-06-04 · physics.chem-ph · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V72IM5WBS2OEITSWFZVMVIRN5G}

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	2026-06-08T00:03:47.924584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff48676c1969c444e562e6acaa22de9b28fd78d78465de9f98eafffca785734

Aliases

arxiv: 2606.06617 · arxiv_version: 2606.06617v1 · doi: 10.48550/arxiv.2606.06617 · pith_short_12: V72IM5WBS2OE · pith_short_16: V72IM5WBS2OEITSW · pith_short_8: V72IM5WB

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/V72IM5WBS2OEITSWFZVMVIRN5G \
  | 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: aff48676c1969c444e562e6acaa22de9b28fd78d78465de9f98eafffca785734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "142f2c7703bcd19899060c64900138c5ba4d087c4bcc1f36d70894b97fe66abc",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-06-04T18:06:40Z",
    "title_canon_sha256": "b7c7734d6f357df86dc6605a1aa4b4d0a39ef433e32f1ff66bac4516b31cf536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06617",
    "kind": "arxiv",
    "version": 1
  }
}