Pith Number

pith:5ZIA3X6H

pith:2014:5ZIA3X6HN5V5NPZJLZCSFHHD2J

not attested not anchored not stored refs pending

Bounding the Optimal Revenue of Selling Multiple Goods

Yiannis Giannakopoulos

arxiv:1404.2832 v6 · 2014-04-10 · 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{5ZIA3X6HN5V5NPZJLZCSFHHD2J}

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	2026-05-18T01:30:25.913952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee500ddfc76f6bd6bf295e45229ce3d2632a286c68ddea19d9a4d00a7791a25f

Aliases

arxiv: 1404.2832 · arxiv_version: 1404.2832v6 · doi: 10.48550/arxiv.1404.2832 · pith_short_12: 5ZIA3X6HN5V5 · pith_short_16: 5ZIA3X6HN5V5NPZJ · pith_short_8: 5ZIA3X6H

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/5ZIA3X6HN5V5NPZJLZCSFHHD2J \
  | 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: ee500ddfc76f6bd6bf295e45229ce3d2632a286c68ddea19d9a4d00a7791a25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367387ccd4768082508eea345538e9a1683be42d81565d9418e9bc1dd17e758c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-04-10T14:46:38Z",
    "title_canon_sha256": "b2bdba6e3b5bdffec9c318d31f85333d75dcb6af7c54973a38ca89e84f6f4ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2832",
    "kind": "arxiv",
    "version": 6
  }
}