Pith Number

pith:5ISW276L

pith:2011:5ISW276LO6YAXXTPS5BU55COVT

not attested not anchored not stored refs pending

On a novel iterative method to compute polynomial approximations to Bessel functions of the first kind and its connection to the solution of fractional diffusion/diffusion-wave problems

Enrique Abad, Santos Bravo Yuste

arxiv:1101.2335 v1 · 2011-01-12 · math-ph · cond-mat.stat-mech · math.CA · 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{5ISW276LO6YAXXTPS5BU55COVT}

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	2026-05-18T02:22:58.350755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea256d7fcb77b00bde6f97434ef44eacf3c4139beecdd4d2e03f1bf830b9baf8

Aliases

arxiv: 1101.2335 · arxiv_version: 1101.2335v1 · doi: 10.48550/arxiv.1101.2335 · pith_short_12: 5ISW276LO6YA · pith_short_16: 5ISW276LO6YAXXTP · pith_short_8: 5ISW276L

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/5ISW276LO6YAXXTPS5BU55COVT \
  | 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: ea256d7fcb77b00bde6f97434ef44eacf3c4139beecdd4d2e03f1bf830b9baf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f47251ae3a9e225d680f63b45f7376386c07067d86765056a6a625edc2636f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-12T12:07:14Z",
    "title_canon_sha256": "b5e3559d268f0b74aed6a96a7cace853ab84f925bd6a82c4b4eb3d0f07f4af7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2335",
    "kind": "arxiv",
    "version": 1
  }
}