Pith Number

pith:VBS6G24F

pith:2018:VBS6G24F4N6GDDQG7BICMVS7ZP

not attested not anchored not stored refs pending

Optimal Dynamic Auctions are Virtual Welfare Maximizers

Pingzhong Tang, Renato Paes Leme, Song Zuo, Vahab Mirrokni

arxiv:1812.02993 v1 · 2018-12-07 · cs.GT · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBS6G24F4N6GDDQG7BICMVS7ZP}

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	2026-05-17T23:58:51.178475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a865e36b85e37c618e06f85026565fcbcb0f99bdcbba73a44e6c52abd595f86e

Aliases

arxiv: 1812.02993 · arxiv_version: 1812.02993v1 · doi: 10.48550/arxiv.1812.02993 · pith_short_12: VBS6G24F4N6G · pith_short_16: VBS6G24F4N6GDDQG · pith_short_8: VBS6G24F

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/VBS6G24F4N6GDDQG7BICMVS7ZP \
  | 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: a865e36b85e37c618e06f85026565fcbcb0f99bdcbba73a44e6c52abd595f86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201c1494d91f0e650067c7346ddda882d5983be4971bf03f707bbcfba2a6d39d",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-12-07T12:11:24Z",
    "title_canon_sha256": "80707db0840b44a0652fe0f3e4f94db887396e58eca6fd9a5575512bab805952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02993",
    "kind": "arxiv",
    "version": 1
  }
}