Pith Number

pith:HVQMF5NX

pith:2009:HVQMF5NXFUINYSS3RE4TM7HROZ

not attested not anchored not stored refs pending

Budget Constrained Auctions with Heterogeneous Items

Gagan Goel, Kamesh Munagala, Sayan Bhattacharya, Sreenivas Gollapudi

arxiv:0907.4166 v6 · 2009-07-24 · 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{HVQMF5NXFUINYSS3RE4TM7HROZ}

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	2026-07-04T17:24:21.951324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d60c2f5b72d10dc4a5b8939367cf1765ed47dfa24d367f76f3b99b8a402ada0

Aliases

arxiv: 0907.4166 · arxiv_version: 0907.4166v6 · doi: 10.48550/arxiv.0907.4166 · pith_short_12: HVQMF5NXFUIN · pith_short_16: HVQMF5NXFUINYSS3 · pith_short_8: HVQMF5NX

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/HVQMF5NXFUINYSS3RE4TM7HROZ \
  | 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: 3d60c2f5b72d10dc4a5b8939367cf1765ed47dfa24d367f76f3b99b8a402ada0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d84274595a2d41e65124a1ac3ddc7fde2186667498e83274be636ee6f23dd29",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2009-07-24T12:39:22Z",
    "title_canon_sha256": "bdb6c203e4be3be0925d858a850ba7d869a5dad83946ed5f607ba601d5b1ec0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4166",
    "kind": "arxiv",
    "version": 6
  }
}