Pith Number

pith:F7U4ZVV4

pith:2015:F7U4ZVV4UDPBVU72EJTNERNDD7

not attested not anchored not stored refs pending

Optimal Pricing is Hard

Alan Deckelbaum, Christos Tzamos, Constantinos Daskalakis

arxiv:1503.02516 v1 · 2015-03-09 · 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{F7U4ZVV4UDPBVU72EJTNERNDD7}

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	2026-05-18T02:25:19.462089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe9ccd6bca0de1ad3fa2266d245a31feb866cbe1252b932687a905d57b10028

Aliases

arxiv: 1503.02516 · arxiv_version: 1503.02516v1 · doi: 10.48550/arxiv.1503.02516 · pith_short_12: F7U4ZVV4UDPB · pith_short_16: F7U4ZVV4UDPBVU72 · pith_short_8: F7U4ZVV4

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/F7U4ZVV4UDPBVU72EJTNERNDD7 \
  | 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: 2fe9ccd6bca0de1ad3fa2266d245a31feb866cbe1252b932687a905d57b10028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73687d4ca5929757afa7cf16169eb1d2f62afcfcbfc39b5b8b93589b46db9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-03-09T15:18:15Z",
    "title_canon_sha256": "762ef3261421097f941c4ab3c4823e7d002cb764f1b866fb4134073236b54ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02516",
    "kind": "arxiv",
    "version": 1
  }
}