Pith Number

pith:LC2A434V

pith:2026:LC2A434V33ATDGPWTLOEX7R3UG

not attested not anchored not stored refs pending

Counterexamples to Schiffer's Conjecture

Gonzalo Cao-Labora, Jaume de Dios Pont

arxiv:2608.05114 v1 · 2026-08-05 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LC2A434V33ATDGPWTLOEX7R3UG}

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	2026-08-06T01:49:13.415422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b40e6f95dec13199f69adc4bfe3ba1a40f8a38aae3d734b403d432b911035b

Aliases

arxiv: 2608.05114 · arxiv_version: 2608.05114v1 · doi: 10.48550/arxiv.2608.05114 · pith_short_12: LC2A434V33AT · pith_short_16: LC2A434V33ATDGPW · pith_short_8: LC2A434V

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/LC2A434V33ATDGPWTLOEX7R3UG \
  | 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: 58b40e6f95dec13199f69adc4bfe3ba1a40f8a38aae3d734b403d432b911035b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16720cc4cb8900b0f41d8cd263ebb487d2200c3fa1b02f10f96296c774cf3959",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-05T17:46:17Z",
    "title_canon_sha256": "978a0facf40874291ab1aab69eacd01c4958504cdfdb78732e399d75aecba4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05114",
    "kind": "arxiv",
    "version": 1
  }
}