Pith Number

pith:HHVJB7OL

pith:2013:HHVJB7OL6JYM3SC2HF3YLENQNY

not attested not anchored not stored refs pending

Refined Error Estimates for the Riccati Equation with Applications to the Angular Teukolsky Equation

Felix Finster, Joel Smoller

arxiv:1307.6470 v3 · 2013-07-24 · math.CA · gr-qc · math-ph · 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{HHVJB7OL6JYM3SC2HF3YLENQNY}

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	2026-05-18T01:19:16.359927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ea90fdcbf270cdc85a39778591b06e0d49fc810333b4a6329c02d08fe84f13

Aliases

arxiv: 1307.6470 · arxiv_version: 1307.6470v3 · doi: 10.48550/arxiv.1307.6470 · pith_short_12: HHVJB7OL6JYM · pith_short_16: HHVJB7OL6JYM3SC2 · pith_short_8: HHVJB7OL

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/HHVJB7OL6JYM3SC2HF3YLENQNY \
  | 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: 39ea90fdcbf270cdc85a39778591b06e0d49fc810333b4a6329c02d08fe84f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41598de5c8f4a753f1a252bdbebbc9c8691f0d8588e14c7d563cb0f9116d7a22",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-24T15:54:32Z",
    "title_canon_sha256": "d73d448b0027e4fc1c405a847f45e815171cb3f77d4683a33ac91ebbaf270c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6470",
    "kind": "arxiv",
    "version": 3
  }
}