Pith Number

pith:MC7LF2EB

pith:2025:MC7LF2EBLR2JHYRWN75ELQRXM7

not attested not anchored not stored refs pending

Optimal Rebate Design: Incentives, Competition and Efficiency in Auction Markets

Thibaut Mastrolia, Tianrui Xu

arxiv:2501.12591 v2 · 2025-01-22 · q-fin.TR · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MC7LF2EBLR2JHYRWN75ELQRXM7}

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	2026-06-09T01:05:04.635324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60beb2e8815c7493e2366ffa45c23767d48485ffbd6857df9d9893340ef4ad23

Aliases

arxiv: 2501.12591 · arxiv_version: 2501.12591v2 · doi: 10.48550/arxiv.2501.12591 · pith_short_12: MC7LF2EBLR2J · pith_short_16: MC7LF2EBLR2JHYRW · pith_short_8: MC7LF2EB

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/MC7LF2EBLR2JHYRWN75ELQRXM7 \
  | 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: 60beb2e8815c7493e2366ffa45c23767d48485ffbd6857df9d9893340ef4ad23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38f7056cfd6041feb635ef34381f14ff0a1ee19af7c90e1fcf1c6dc01425dfd",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2025-01-22T02:34:43Z",
    "title_canon_sha256": "504af7e69cb77658ee5ce112b1d587b1cafcc9d1deabab5b84efe24773db18bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12591",
    "kind": "arxiv",
    "version": 2
  }
}