Pith Number

pith:DHVWCGYT

pith:2010:DHVWCGYTGH7ZUFA4MCYLCAJSJL

not attested not anchored not stored refs pending

On lower bounds for the L_2-discrepancy

Aicke Hinrichs, Lev Markhasin

arxiv:1010.1950 v3 · 2010-10-07 · math.NA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHVWCGYTGH7ZUFA4MCYLCAJSJL}

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	2026-05-18T02:58:46.863728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19eb611b1331ff9a141c60b0b101324af43452246e030281a0ed51b5dc82b56d

Aliases

arxiv: 1010.1950 · arxiv_version: 1010.1950v3 · doi: 10.48550/arxiv.1010.1950 · pith_short_12: DHVWCGYTGH7Z · pith_short_16: DHVWCGYTGH7ZUFA4 · pith_short_8: DHVWCGYT

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/DHVWCGYTGH7ZUFA4MCYLCAJSJL \
  | 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: 19eb611b1331ff9a141c60b0b101324af43452246e030281a0ed51b5dc82b56d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a099c11b54fb92b937ae709d1f491c16368216e975f4d80f3c9b08a5d54dcb2a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-10-07T11:15:16Z",
    "title_canon_sha256": "9b77098fc3ad6b8c88c57e34f9628fb7663773324720ef1a211a5814c4f59e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1950",
    "kind": "arxiv",
    "version": 3
  }
}