Pith Number

pith:LGWC4NXC

pith:2015:LGWC4NXCTVF6TSUWV6ABBJK6WI

not attested not anchored not stored refs pending

Improved estimates for nonoscillatory phase functions

James Bremer, Vladimir Rokhlin

arxiv:1505.05548 v1 · 2015-05-20 · 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{LGWC4NXCTVF6TSUWV6ABBJK6WI}

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	2026-05-18T02:03:54.255256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ac2e36e29d4be9ca96af8010a55eb2251a7532fc2169f0dc581d9827c9bc9a

Aliases

arxiv: 1505.05548 · arxiv_version: 1505.05548v1 · doi: 10.48550/arxiv.1505.05548 · pith_short_12: LGWC4NXCTVF6 · pith_short_16: LGWC4NXCTVF6TSUW · pith_short_8: LGWC4NXC

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/LGWC4NXCTVF6TSUWV6ABBJK6WI \
  | 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: 59ac2e36e29d4be9ca96af8010a55eb2251a7532fc2169f0dc581d9827c9bc9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8259c62a032a73ad23fe66bad4689ece8ceab82f1998e9fbb860c9f13bba3db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-20T22:43:34Z",
    "title_canon_sha256": "139700f72cdd3becdb9ed6681873fef498c239334c65fdcd8c1d251058802446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05548",
    "kind": "arxiv",
    "version": 1
  }
}