Pith Number

pith:CHDGHWB7

pith:2015:CHDGHWB7BZKRIMEP43YHSRS5O2

not attested not anchored not stored refs pending

Optimal Auction Design with Quantized Bids

Nianxia Cao, Pramod K. Varshney, Swastik Brahma

arxiv:1509.08496 v1 · 2015-09-28 · 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{CHDGHWB7BZKRIMEP43YHSRS5O2}

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	2026-05-18T01:00:40.353240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c663d83f0e5514308fe6f079465d76a1645a07e977026e85e3c1beccc65712

Aliases

arxiv: 1509.08496 · arxiv_version: 1509.08496v1 · doi: 10.48550/arxiv.1509.08496 · pith_short_12: CHDGHWB7BZKR · pith_short_16: CHDGHWB7BZKRIMEP · pith_short_8: CHDGHWB7

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/CHDGHWB7BZKRIMEP43YHSRS5O2 \
  | 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: 11c663d83f0e5514308fe6f079465d76a1645a07e977026e85e3c1beccc65712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f09e79fb9176575ffc36fc6f5c59d0cc22c6ef8f7260f308cbc4dbb1d9d2c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-09-28T20:40:30Z",
    "title_canon_sha256": "a78f6858b07e48da820ef15261aff556c25eff35f60a520300a15ad47204b0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08496",
    "kind": "arxiv",
    "version": 1
  }
}