Pith Number

pith:BUC2GEV3

pith:2016:BUC2GEV32MCZLZHOGBH2KF27TJ

not attested not anchored not stored refs pending

Walrasian Pricing in Multi-unit Auctions

Aris Filos-Ratsikas, Peter Bro Miltersen, Simina Br\^anzei, Yulong Zeng

arxiv:1602.08719 v7 · 2016-02-28 · 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{BUC2GEV32MCZLZHOGBH2KF27TJ}

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	2026-05-18T00:33:32.601307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d05a312bbd30595e4ee304fa5175f9a4381554905901a36f1f9a238a221ed50

Aliases

arxiv: 1602.08719 · arxiv_version: 1602.08719v7 · doi: 10.48550/arxiv.1602.08719 · pith_short_12: BUC2GEV32MCZ · pith_short_16: BUC2GEV32MCZLZHO · pith_short_8: BUC2GEV3

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/BUC2GEV32MCZLZHOGBH2KF27TJ \
  | 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: 0d05a312bbd30595e4ee304fa5175f9a4381554905901a36f1f9a238a221ed50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b18d07c87d0ca2725e28799ce77e69d099fdc85c00538e20b5419689ef9717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-02-28T14:02:45Z",
    "title_canon_sha256": "d36f9830b713566ad5b771714e63fbb84c3f16e4d2e12439c48bbe4832f92df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08719",
    "kind": "arxiv",
    "version": 7
  }
}