Pith Number

pith:TEHR24YU

pith:2016:TEHR24YUBRDTIWP6AEDESQN576

not attested not anchored not stored refs pending

Exponential sum approximations for $t^{-\beta}$

William McLean

arxiv:1606.00123 v3 · 2016-06-01 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEHR24YUBRDTIWP6AEDESQN576}

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	2026-05-18T00:03:37.499672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

990f1d73140c473459fe01064941bdff8cb4a0833a1fd0be01319d05b72d700f

Aliases

arxiv: 1606.00123 · arxiv_version: 1606.00123v3 · doi: 10.48550/arxiv.1606.00123 · pith_short_12: TEHR24YUBRDT · pith_short_16: TEHR24YUBRDTIWP6 · pith_short_8: TEHR24YU

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/TEHR24YUBRDTIWP6AEDESQN576 \
  | 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: 990f1d73140c473459fe01064941bdff8cb4a0833a1fd0be01319d05b72d700f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8393c23c1f9505c1f5db4bfe79aec9c7a9fd1b97294e7c10ae42cb7da34726c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-01T05:50:11Z",
    "title_canon_sha256": "2f4dc7bb2006ecbe0c6db085a4a7add7bf9da421dde8e0bf18dbd672266977e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00123",
    "kind": "arxiv",
    "version": 3
  }
}