Pith Number

pith:VRVEL67O

pith:2025:VRVEL67OI74NKEOANACLH72N6N

not attested not anchored not stored refs pending

Solving the Market Split Problem with Lattice Enumeration

Alfred Wassermann

arxiv:2508.08702 v2 · 2025-08-12 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRVEL67OI74NKEOANACLH72N6N}

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	2026-06-26T01:15:45.349898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6a45fbee47f8d511c06804b3ff4df36478cdaca92a9b3c6c026a3d45e11f66

Aliases

arxiv: 2508.08702 · arxiv_version: 2508.08702v2 · doi: 10.48550/arxiv.2508.08702 · pith_short_12: VRVEL67OI74N · pith_short_16: VRVEL67OI74NKEOA · pith_short_8: VRVEL67O

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/VRVEL67OI74NKEOANACLH72N6N \
  | 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: ac6a45fbee47f8d511c06804b3ff4df36478cdaca92a9b3c6c026a3d45e11f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d0864c62366254c22d27e1ce849496ac1fd22312587566cdba18f0e3454149",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-12T07:46:04Z",
    "title_canon_sha256": "0d5b3fc43b4292979b9297c92ce0bb3b1f17858f87cd5c48907fd1a4586b5bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08702",
    "kind": "arxiv",
    "version": 2
  }
}