Pith Number

pith:WDNG6EXD

pith:2026:WDNG6EXDJUXILMWFR7SKD6YUNW

not attested not anchored not stored refs pending

Stability of nontrivial graph pairs

Xiaomeng Wang, Xing Gao

arxiv:2606.02203 v1 · 2026-06-01 · 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{WDNG6EXDJUXILMWFR7SKD6YUNW}

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	2026-06-02T03:04:53.047029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0da6f12e34d2e85b2c58fe4a1fb146db343dfd07b25e503257889f0b54fa208

Aliases

arxiv: 2606.02203 · arxiv_version: 2606.02203v1 · doi: 10.48550/arxiv.2606.02203 · pith_short_12: WDNG6EXDJUXI · pith_short_16: WDNG6EXDJUXILMWF · pith_short_8: WDNG6EXD

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/WDNG6EXDJUXILMWFR7SKD6YUNW \
  | 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: b0da6f12e34d2e85b2c58fe4a1fb146db343dfd07b25e503257889f0b54fa208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cbea88559cecd36d6fba07e0723defcd2ba4b18568f96d1778554b07269c118",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T12:59:54Z",
    "title_canon_sha256": "b46b913dc04e794eb5dda4e2241b27fff52b9bb2eea483c161745217d46cc416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02203",
    "kind": "arxiv",
    "version": 1
  }
}