Pith Number

pith:GRUY2CZJ

pith:2016:GRUY2CZJQLHQR2IH5J5QU7A4QJ

not attested not anchored not stored refs pending

Walrasian's Characterization and a Universal Ascending Auction

Oren Ben-Zwi

arxiv:1605.03826 v1 · 2016-05-12 · 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{GRUY2CZJQLHQR2IH5J5QU7A4QJ}

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	2026-05-18T01:14:59.406267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34698d0b2982cf08e907ea7b0a7c1c827c8f1840ef3ece4edf7cdd5e60756640

Aliases

arxiv: 1605.03826 · arxiv_version: 1605.03826v1 · doi: 10.48550/arxiv.1605.03826 · pith_short_12: GRUY2CZJQLHQ · pith_short_16: GRUY2CZJQLHQR2IH · pith_short_8: GRUY2CZJ

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/GRUY2CZJQLHQR2IH5J5QU7A4QJ \
  | 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: 34698d0b2982cf08e907ea7b0a7c1c827c8f1840ef3ece4edf7cdd5e60756640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed49a59b2cd52458be6c8f44abdc22d31ce069e025b0dceedb1d257070fdf68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-05-12T14:25:14Z",
    "title_canon_sha256": "7c84c7d8b25e5ce976ece1a4ab7bb7a6f09115cb1008e29a733faa77ba4aafc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03826",
    "kind": "arxiv",
    "version": 1
  }
}