Pith Number

pith:7Y2MMSC2

pith:2016:7Y2MMSC2ZOGG5YPCMM4G2IZSAR

not attested not anchored not stored refs pending

A Note on the Ratio of Revenues Between Selling in a Bundle and Separately

Ron Kupfer

arxiv:1611.09613 v1 · 2016-11-29 · 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{7Y2MMSC2ZOGG5YPCMM4G2IZSAR}

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	2026-05-18T00:56:17.907346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe34c6485acb8c6ee1e263386d2332046fbc08905e5c70b35e9d4d06aa7aecc0

Aliases

arxiv: 1611.09613 · arxiv_version: 1611.09613v1 · doi: 10.48550/arxiv.1611.09613 · pith_short_12: 7Y2MMSC2ZOGG · pith_short_16: 7Y2MMSC2ZOGG5YPC · pith_short_8: 7Y2MMSC2

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/7Y2MMSC2ZOGG5YPCMM4G2IZSAR \
  | 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: fe34c6485acb8c6ee1e263386d2332046fbc08905e5c70b35e9d4d06aa7aecc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72f2a8a8f75c0dd384a77e4e10a09f66e2730f10fe41e819d95ebc28822cb9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-11-29T13:08:34Z",
    "title_canon_sha256": "6e6b1dec5b95987b4b9e2363fb11ebc3c15ef730f0d0cffc5c01efa7c7b21322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09613",
    "kind": "arxiv",
    "version": 1
  }
}