Pith Number

pith:ASQR2AZO

pith:2021:ASQR2AZOMRGLXMLXD4B3LTRLTJ

not attested not anchored not stored refs pending

Making Auctions Robust to Aftermarkets

Brendan Lucier, Moshe Babaioff, Nicole Immorlica, Yingkai Li

arxiv:2107.05853 v2 · 2021-07-13 · econ.TH · 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{ASQR2AZOMRGLXMLXD4B3LTRLTJ}

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	2026-07-05T05:16:31.148774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a11d032e644cbbb1771f03b5ce2b9a49c7c8ca12ea294f0bfd0d54e83d4737

Aliases

arxiv: 2107.05853 · arxiv_version: 2107.05853v2 · doi: 10.48550/arxiv.2107.05853 · pith_short_12: ASQR2AZOMRGL · pith_short_16: ASQR2AZOMRGLXMLX · pith_short_8: ASQR2AZO

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/ASQR2AZOMRGLXMLXD4B3LTRLTJ \
  | 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: 04a11d032e644cbbb1771f03b5ce2b9a49c7c8ca12ea294f0bfd0d54e83d4737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9ac24e7e28a09fa2ec584ae37e8ed3d9548e641a800d1fb5ade9522ad8dab5",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2021-07-13T05:19:34Z",
    "title_canon_sha256": "607687ca04cbd69a0e836460ed72a004f70cb733a774a225b2ef90d059a0b437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05853",
    "kind": "arxiv",
    "version": 2
  }
}