Pith Number

pith:K3DQO34P

pith:2010:K3DQO34PGSUK2GVIGPOL2K2VLW

not attested not anchored not stored refs pending

Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions

R. Mehrem

arxiv:1012.6013 v2 · 2010-12-29 · math-ph · math.MP · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3DQO34PGSUK2GVIGPOL2K2VLW}

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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	2026-05-18T04:14:37.986352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c7076f8f34a8ad1aa833dcbd2b555d8fe5a2215a8f7e4cabc89c974c75018b

Aliases

arxiv: 1012.6013 · arxiv_version: 1012.6013v2 · doi: 10.48550/arxiv.1012.6013 · pith_short_12: K3DQO34PGSUK · pith_short_16: K3DQO34PGSUK2GVI · pith_short_8: K3DQO34P

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/K3DQO34PGSUK2GVIGPOL2K2VLW \
  | 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: 56c7076f8f34a8ad1aa833dcbd2b555d8fe5a2215a8f7e4cabc89c974c75018b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4e4b742c3f4ecb1f801b54bd96042007b3c05e6789db46f351d7a3119d7564",
    "cross_cats_sorted": [
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-29T19:48:47Z",
    "title_canon_sha256": "44fecc251a7fe027d572d8edbe8eb9849f1a9a108164a983e7a111376fd3f3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.6013",
    "kind": "arxiv",
    "version": 2
  }
}