Pith Number

pith:JK5SHLR2

pith:2026:JK5SHLR2RCUQR2ZEWVNLNB4ULF

not attested not anchored not stored refs pending

On zero-sum problems of two new types

Zhi-Wei Sun

arxiv:2606.18234 v2 · 2026-06-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK5SHLR2RCUQR2ZEWVNLNB4ULF}

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	2026-06-19T16:12:58.147031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abb23ae3a88a908eb24b55ab6879459707652303eb3fd8203e6048c96d0cc6a

Aliases

arxiv: 2606.18234 · arxiv_version: 2606.18234v2 · doi: 10.48550/arxiv.2606.18234 · pith_short_12: JK5SHLR2RCUQ · pith_short_16: JK5SHLR2RCUQR2ZE · pith_short_8: JK5SHLR2

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/JK5SHLR2RCUQR2ZEWVNLNB4ULF \
  | 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: 4abb23ae3a88a908eb24b55ab6879459707652303eb3fd8203e6048c96d0cc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a811383de45c6973d8f013ecf9248158ab10db07d3e0ef10c14ab9f7cb09ee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-16T17:56:29Z",
    "title_canon_sha256": "48ade890117d0632ff957669a36443ee34f068d6ce0fa81335e018cf1e73abc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18234",
    "kind": "arxiv",
    "version": 2
  }
}