Pith Number

pith:6LBKR5IW

pith:2017:6LBKR5IWYYIKCIGVCVJ7PB3YY5

not attested not anchored not stored refs pending

On the nonoscillatory phase function for Legendre's differential equation

James Bremer, Vladimir Rokhlin

arxiv:1701.03958 v1 · 2017-01-14 · math.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LBKR5IWYYIKCIGVCVJ7PB3YY5}

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	2026-05-18T00:33:21.721791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c2a8f516c610a120d51553f78778c75085d4595428653369b82ccb6a4a7973

Aliases

arxiv: 1701.03958 · arxiv_version: 1701.03958v1 · doi: 10.48550/arxiv.1701.03958 · pith_short_12: 6LBKR5IWYYIK · pith_short_16: 6LBKR5IWYYIKCIGV · pith_short_8: 6LBKR5IW

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/6LBKR5IWYYIKCIGVCVJ7PB3YY5 \
  | 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: f2c2a8f516c610a120d51553f78778c75085d4595428653369b82ccb6a4a7973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda4971cc0b53699fb40a7fd818443a1e9a2a60ccaa0a14a12fe6f5e95d821ab",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-14T19:26:49Z",
    "title_canon_sha256": "6272208f2b42be2a9d015aa6c12db123b139b15928a03b0977a37c0170fe28e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03958",
    "kind": "arxiv",
    "version": 1
  }
}