Pith Number

pith:VFDXJQUG

pith:2011:VFDXJQUGNNAJ5QTRKBNA6G7NEQ

not attested not anchored not stored refs pending

Solving systems of transcendental equations involving the Heun functions

Denitsa R. Staicova, Plamen P. Fiziev

arxiv:1201.0017 v2 · 2011-12-29 · cs.NA · astro-ph.IM · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFDXJQUGNNAJ5QTRKBNA6G7NEQ}

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	2026-05-18T03:39:28.902807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94774c2866b409ec271505a0f1bed2416a5ad742a0d11cf05525e4beff95623

Aliases

arxiv: 1201.0017 · arxiv_version: 1201.0017v2 · doi: 10.48550/arxiv.1201.0017 · pith_short_12: VFDXJQUGNNAJ · pith_short_16: VFDXJQUGNNAJ5QTR · pith_short_8: VFDXJQUG

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/VFDXJQUGNNAJ5QTRKBNA6G7NEQ \
  | 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: a94774c2866b409ec271505a0f1bed2416a5ad742a0d11cf05525e4beff95623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e29693321f307286f429f2ce331be777743c9c4a83f64c616cdbcee6b04097",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2011-12-29T21:00:35Z",
    "title_canon_sha256": "5344d8c57d7d0dc30a5ac367c70de8df16639325e1ec15460e97f9d636f88ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0017",
    "kind": "arxiv",
    "version": 2
  }
}