Pith Number

pith:YQDEWPXS

pith:2026:YQDEWPXSNSFSOZD22NGS2KH4MJ

not attested not anchored not stored refs pending

Second-Best Bilateral Trade is $1/2$ Efficient

Ying Qin, Zeyu Ren, Zhengyang Liu, Zihe Wang

arxiv:2606.03849 v1 · 2026-06-02 · 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{YQDEWPXSNSFSOZD22NGS2KH4MJ}

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	2026-06-03T02:06:04.093520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4064b3ef26c8b27647ad34d2d28fc6270b0bf45f968c4555caf20bd0d81951e

Aliases

arxiv: 2606.03849 · arxiv_version: 2606.03849v1 · doi: 10.48550/arxiv.2606.03849 · pith_short_12: YQDEWPXSNSFS · pith_short_16: YQDEWPXSNSFSOZD2 · pith_short_8: YQDEWPXS

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/YQDEWPXSNSFSOZD22NGS2KH4MJ \
  | 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: c4064b3ef26c8b27647ad34d2d28fc6270b0bf45f968c4555caf20bd0d81951e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91eb7d8f98a114a9826089941c1b380e56adb22b7c20956ac835ad210a2cf185",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-02T16:28:03Z",
    "title_canon_sha256": "7b535ba6c57a7d7f6f994bc1b3a6aced5ff5db3f6adbf205a19eef904df45fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03849",
    "kind": "arxiv",
    "version": 1
  }
}