Pith Number

pith:D6NNUGGM

pith:2012:D6NNUGGMASWALX2Z5KVNICBWYM

not attested not anchored not stored refs pending

Combinatorial Auctions with Restricted Complements

Ittai Abraham, Moshe Babaioff, Shaddin Dughmi, Tim Roughgarden

arxiv:1205.4104 v1 · 2012-05-18 · 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{D6NNUGGMASWALX2Z5KVNICBWYM}

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	2026-05-18T03:55:22.715525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9ada18cc04ac05df59eaaad40836c32ed84b432cab8e20204b21e4407e6cec

Aliases

arxiv: 1205.4104 · arxiv_version: 1205.4104v1 · doi: 10.48550/arxiv.1205.4104 · pith_short_12: D6NNUGGMASWA · pith_short_16: D6NNUGGMASWALX2Z · pith_short_8: D6NNUGGM

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/D6NNUGGMASWALX2Z5KVNICBWYM \
  | 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: 1f9ada18cc04ac05df59eaaad40836c32ed84b432cab8e20204b21e4407e6cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346b06074db51f0a95983f3a7fa52337e6c1e87fdc7517c9591b2d6e462827fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-05-18T07:58:59Z",
    "title_canon_sha256": "d47e61606b811cd1a54bee3eb470f6424f5e2fb90cda0fec1fa8834cfaac87ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4104",
    "kind": "arxiv",
    "version": 1
  }
}