Pith Number

pith:2574UXZE

pith:2016:2574UXZE3KP2MYB27PK77EYUZO

not attested not anchored not stored refs pending

On absolute values of QK functions

Guanlong Bao, Hasi Wulan, Ruishen Qian, Zengjian Lou

arxiv:1604.02542 v1 · 2016-04-09 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2574UXZE3KP2MYB27PK77EYUZO}

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	2026-05-18T01:16:59.256226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77fca5f24da9fa6603afbd5ff9314cba29cff4241592de0dfe769236d23e51f

Aliases

arxiv: 1604.02542 · arxiv_version: 1604.02542v1 · doi: 10.48550/arxiv.1604.02542 · pith_short_12: 2574UXZE3KP2 · pith_short_16: 2574UXZE3KP2MYB2 · pith_short_8: 2574UXZE

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/2574UXZE3KP2MYB27PK77EYUZO \
  | 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: d77fca5f24da9fa6603afbd5ff9314cba29cff4241592de0dfe769236d23e51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008a738d41c91e3c1dea072ca96305acf842fda47b148be28171325307e84d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-09T09:14:13Z",
    "title_canon_sha256": "50bb6bbbd12673295e5d181261fe42690f4ac98511d3f8824eb92aab080484e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02542",
    "kind": "arxiv",
    "version": 1
  }
}