Pith Number

pith:NOZDCGWM

pith:2021:NOZDCGWMNCMXE2EY4FUHVEMJER

not attested not anchored not stored refs pending

Copositive Duality for Discrete Markets and Games

Cheng Guo, Joshua A. Taylor, Merve Bodur

arxiv:2101.05379 v2 · 2021-01-13 · math.OC · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOZDCGWMNCMXE2EY4FUHVEMJER}

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	2026-07-05T02:09:56.761112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb2311acc6899726898e1687a918924639a756562314639d5b7b8dba3325592

Aliases

arxiv: 2101.05379 · arxiv_version: 2101.05379v2 · doi: 10.48550/arxiv.2101.05379 · pith_short_12: NOZDCGWMNCMX · pith_short_16: NOZDCGWMNCMXE2EY · pith_short_8: NOZDCGWM

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/NOZDCGWMNCMXE2EY4FUHVEMJER \
  | 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: 6bb2311acc6899726898e1687a918924639a756562314639d5b7b8dba3325592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b885d84b77a5174d057062c8c85b054cf0427d27d8ec3693847283f87e2b3123",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-01-13T22:48:40Z",
    "title_canon_sha256": "982bd50de2d860a4a7f3177af6ccaf8fc544791d8f6e45ebd1670e611b3aa862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05379",
    "kind": "arxiv",
    "version": 2
  }
}