Pith Number

pith:YGBX34Q3

pith:2019:YGBX34Q3KXYMVEL2DODE3WTULX

not attested not anchored not stored refs pending

Improved Upper Bounds on the Hermite and KZ Constants

Jian Weng, Jinming Wen, Xiao-Wen Chang

arxiv:1904.09395 v1 · 2019-04-20 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGBX34Q3KXYMVEL2DODE3WTULX}

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	2026-05-17T23:48:07.212975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1837df21b55f0ca917a1b864dda745dd70f69ab6ef2ed6dd81c27697ade1876

Aliases

arxiv: 1904.09395 · arxiv_version: 1904.09395v1 · doi: 10.48550/arxiv.1904.09395 · pith_short_12: YGBX34Q3KXYM · pith_short_16: YGBX34Q3KXYMVEL2 · pith_short_8: YGBX34Q3

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/YGBX34Q3KXYMVEL2DODE3WTULX \
  | 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: c1837df21b55f0ca917a1b864dda745dd70f69ab6ef2ed6dd81c27697ade1876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51297a18d1e80df433fef7c18abac2a532041e80bb7627cfb6ddf61c2a309894",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-04-20T03:44:09Z",
    "title_canon_sha256": "4d49d7fd0f7485aa4b3eca6638b226be0c53053814fbbd398ab1c609de3b7cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09395",
    "kind": "arxiv",
    "version": 1
  }
}