Pith Number

pith:L4NQSQ7G

pith:2026:L4NQSQ7G2WBASXTSTE57BYBBS7

not attested not anchored not stored refs pending

Gradient Dynamics in First-Price Auctions: Iterative Strategy Elimination via Cubic Potentials

Mete \c{S}eref Ahunbay, Tao Lin, Weiqiang Zheng

arxiv:2606.05108 v1 · 2026-06-03 · 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{L4NQSQ7G2WBASXTSTE57BYBBS7}

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	2026-06-04T01:10:06.633333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1b0943e6d582095e72993bf0e02197e613b435ed267acc2ee509916797fd1d

Aliases

arxiv: 2606.05108 · arxiv_version: 2606.05108v1 · doi: 10.48550/arxiv.2606.05108 · pith_short_12: L4NQSQ7G2WBA · pith_short_16: L4NQSQ7G2WBASXTS · pith_short_8: L4NQSQ7G

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/L4NQSQ7G2WBASXTSTE57BYBBS7 \
  | 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: 5f1b0943e6d582095e72993bf0e02197e613b435ed267acc2ee509916797fd1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26eb62782ab891d8929c11299b0682bb0de58442c4413af963b6823f7dd00621",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-03T17:10:33Z",
    "title_canon_sha256": "0b8767f613599dd7ff82df0b2793f727de07cfebde41eb1e9adf6aebe5319efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05108",
    "kind": "arxiv",
    "version": 1
  }
}