Pith Number

pith:I2TTN3KL

pith:2015:I2TTN3KL7GKMDVIJDCKBDSKGGB

not attested not anchored not stored refs pending

Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness

Glenn Byrenheid, Lutz K\"ammerer, Tino Ullrich, Toni Volkmer

arxiv:1510.08336 v2 · 2015-10-28 · 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{I2TTN3KL7GKMDVIJDCKBDSKGGB}

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	2026-05-18T01:10:14.908071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a736ed4bf994c1d509189411c94630711171418a4e0b1f8e93511cfbc3dcc7

Aliases

arxiv: 1510.08336 · arxiv_version: 1510.08336v2 · doi: 10.48550/arxiv.1510.08336 · pith_short_12: I2TTN3KL7GKM · pith_short_16: I2TTN3KL7GKMDVIJ · pith_short_8: I2TTN3KL

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/I2TTN3KL7GKMDVIJDCKBDSKGGB \
  | 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: 46a736ed4bf994c1d509189411c94630711171418a4e0b1f8e93511cfbc3dcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a37e153120a66c681ae391febcd6beb51e640940e018988ea48e93e9a713374",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-28T15:04:52Z",
    "title_canon_sha256": "537afb8352c7ea1908d0f768c382fb752abccaa5106dc1777132fa6a1c0aec7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08336",
    "kind": "arxiv",
    "version": 2
  }
}