Pith Number

pith:W76EDH5C

pith:2012:W76EDH5CLYHSJXNFSCYAVXGGPL

not attested not anchored not stored refs pending

Simultaneous Auctions are (almost) Efficient

Brendan Lucier, Hu Fu, Michal Feldman, Nick Gravin

arxiv:1209.4703 v1 · 2012-09-21 · 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{W76EDH5CLYHSJXNFSCYAVXGGPL}

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	2026-05-18T03:45:10.230992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fc419fa25e0f24dda590b00adcc67ae054e4e5b848b48f482ee44fc7af2e95

Aliases

arxiv: 1209.4703 · arxiv_version: 1209.4703v1 · doi: 10.48550/arxiv.1209.4703 · pith_short_12: W76EDH5CLYHS · pith_short_16: W76EDH5CLYHSJXNF · pith_short_8: W76EDH5C

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/W76EDH5CLYHSJXNFSCYAVXGGPL \
  | 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: b7fc419fa25e0f24dda590b00adcc67ae054e4e5b848b48f482ee44fc7af2e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a73cc936d65a51a78134187a78ff8e8abf2bac082421c548e18ea36f57d170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-09-21T05:21:42Z",
    "title_canon_sha256": "cb6cf53ad5b786be73ea1c324ec79b8066adb61eb062e07bd87b5ee2fbcd5c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4703",
    "kind": "arxiv",
    "version": 1
  }
}