Pith Number

pith:EKQTV5XL

pith:2014:EKQTV5XLTSM5PIKFXWM4VMX2SF

not attested not anchored not stored refs pending

Tree-particle integrals with spherical Bessel and Neumann functions

Alexei M. Frolov, David M. Wardlaw

arxiv:1403.7848 v8 · 2014-03-31 · 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{EKQTV5XLTSM5PIKFXWM4VMX2SF}

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	2026-05-18T02:26:52.938086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a13af6eb9c99d7a145bd99cab2fa917f55e610f768e37b4f2b5b596c5a87c2

Aliases

arxiv: 1403.7848 · arxiv_version: 1403.7848v8 · doi: 10.48550/arxiv.1403.7848 · pith_short_12: EKQTV5XLTSM5 · pith_short_16: EKQTV5XLTSM5PIKF · pith_short_8: EKQTV5XL

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/EKQTV5XLTSM5PIKFXWM4VMX2SF \
  | 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: 22a13af6eb9c99d7a145bd99cab2fa917f55e610f768e37b4f2b5b596c5a87c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c984638235f418114ddd9f1313f39b13c11bea00b141d576e0784ab965ea44b8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-31T01:50:37Z",
    "title_canon_sha256": "5b766a5acde16faad7f0f17da0f8ef77cc48c797137edf2e38213b32e86c6252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7848",
    "kind": "arxiv",
    "version": 8
  }
}