Pith Number

pith:IF7X4QHM

pith:2015:IF7X4QHMJBHG4HTZJID4NXCUMO

not attested not anchored not stored refs pending

Combinatorial Auctions with Conflict-Based Externalities

Martin Hoefer, Martin Starnberger, Monika Henzinger, Yun Kuen Cheung

arxiv:1509.09147 v1 · 2015-09-30 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IF7X4QHMJBHG4HTZJID4NXCUMO}

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	2026-05-18T01:31:26.972521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

417f7e40ec484e6e1e794a07c6dc5463b3b1a551671f85285f59f8ff89cd6782

Aliases

arxiv: 1509.09147 · arxiv_version: 1509.09147v1 · doi: 10.48550/arxiv.1509.09147 · pith_short_12: IF7X4QHMJBHG · pith_short_16: IF7X4QHMJBHG4HTZ · pith_short_8: IF7X4QHM

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/IF7X4QHMJBHG4HTZJID4NXCUMO \
  | 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: 417f7e40ec484e6e1e794a07c6dc5463b3b1a551671f85285f59f8ff89cd6782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c750442974e718495d75882c6faeabeafb27786214bdc6f9d0ed88339b4114",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-09-30T12:26:08Z",
    "title_canon_sha256": "dd6f516234a61310922db18dd602f8f36aee960064a06e15f13510c8240f4997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09147",
    "kind": "arxiv",
    "version": 1
  }
}