Pith Number

pith:B53NTV3W

pith:2012:B53NTV3WD4ZFSH6DVKCFLAVJAU

not attested not anchored not stored refs pending

Optimal Auctions via the Multiplicative Weight Method

Anand Bhalgat, Kamesh Munagala, Sreenivas Gollapudi

arxiv:1211.1699 v3 · 2012-11-07 · 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{B53NTV3WD4ZFSH6DVKCFLAVJAU}

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	2026-05-18T03:28:19.454499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f76d9d7761f32591fc3aa845582a9051210fa278bac9eaa0a101f9304bc4791

Aliases

arxiv: 1211.1699 · arxiv_version: 1211.1699v3 · doi: 10.48550/arxiv.1211.1699 · pith_short_12: B53NTV3WD4ZF · pith_short_16: B53NTV3WD4ZFSH6D · pith_short_8: B53NTV3W

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/B53NTV3WD4ZFSH6DVKCFLAVJAU \
  | 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: 0f76d9d7761f32591fc3aa845582a9051210fa278bac9eaa0a101f9304bc4791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168d42651255f7d1d07a5ae2746bdc430f5e783dda870b2dcfa5fe7285285083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-11-07T21:45:50Z",
    "title_canon_sha256": "0c8e2297745d235d8783b2267e9aa46086edcf551685b9a63848222bca2f9d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1699",
    "kind": "arxiv",
    "version": 3
  }
}