Pith Number

pith:F4UAKW2K

pith:2014:F4UAKW2KSXYK6BLZ5FEAIKI2JY

not attested not anchored not stored refs pending

Strong Duality for a Multiple-Good Monopolist

Alan Deckelbaum, Christos Tzamos, Constantinos Daskalakis

arxiv:1409.4150 v3 · 2014-09-15 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4UAKW2KSXYK6BLZ5FEAIKI2JY}

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	2026-05-18T00:35:55.931327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f28055b4a95f0af0579e94804291a4e1968811f2c4fad5c04375ca3be539f0e

Aliases

arxiv: 1409.4150 · arxiv_version: 1409.4150v3 · doi: 10.48550/arxiv.1409.4150 · pith_short_12: F4UAKW2KSXYK · pith_short_16: F4UAKW2KSXYK6BLZ · pith_short_8: F4UAKW2K

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/F4UAKW2KSXYK6BLZ5FEAIKI2JY \
  | 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: 2f28055b4a95f0af0579e94804291a4e1968811f2c4fad5c04375ca3be539f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1612691da262f8e49969504453db2d47a32f95f0ef35c6638126574442b11be4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-09-15T03:54:55Z",
    "title_canon_sha256": "2f19dcbc02ad9c47831f74bf72bd1e0da10df097f6e3e43dbede8db440166a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4150",
    "kind": "arxiv",
    "version": 3
  }
}