Pith Number

pith:USQL42L6

pith:2011:USQL42L6MZKAYHCIPEMK2TZMN5

not attested not anchored not stored refs pending

On the Triality Theory for a Quartic Polynomial Optimization Problem

Changzhi Wu, David Y Gao

arxiv:1110.0293 v1 · 2011-10-03 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USQL42L6MZKAYHCIPEMK2TZMN5}

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	2026-05-18T04:11:50.318799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a0be697e66540c1c487918ad4f2c6f6d8da86ff32dde9da1f1c3d3fd318d5b

Aliases

arxiv: 1110.0293 · arxiv_version: 1110.0293v1 · doi: 10.48550/arxiv.1110.0293 · pith_short_12: USQL42L6MZKA · pith_short_16: USQL42L6MZKAYHCI · pith_short_8: USQL42L6

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/USQL42L6MZKAYHCIPEMK2TZMN5 \
  | 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: a4a0be697e66540c1c487918ad4f2c6f6d8da86ff32dde9da1f1c3d3fd318d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6eaff62bfd5e66cd6d789d2d462188f68173da4e8580a1e2c7c80024846cdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-03T08:21:17Z",
    "title_canon_sha256": "c9eb5c64c515494c03ab48d78126aa33a4bb2a69380f108d3ad560652028a2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0293",
    "kind": "arxiv",
    "version": 1
  }
}