Pith Number

pith:W4RPART2

pith:2025:W4RPART2K2TU625CGIG7XKM7WD

not attested not anchored not stored refs pending

First-eigenvalue maximization and inflation of maps

Shin Nayatani

arxiv:2506.05681 v1 · 2025-06-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4RPART2K2TU625CGIG7XKM7WD}

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	2026-07-05T11:17:07.927892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b722f0467a56a74f6ba2320dfba99fb0c98718bfdf800dad7170e7ee69f6b303

Aliases

arxiv: 2506.05681 · arxiv_version: 2506.05681v1 · doi: 10.48550/arxiv.2506.05681 · pith_short_12: W4RPART2K2TU · pith_short_16: W4RPART2K2TU625C · pith_short_8: W4RPART2

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/W4RPART2K2TU625CGIG7XKM7WD \
  | 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: b722f0467a56a74f6ba2320dfba99fb0c98718bfdf800dad7170e7ee69f6b303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b379506d461c2686f04ab02c91992454a60d6dd94e0f94e008ab04727fe6d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-06T02:11:45Z",
    "title_canon_sha256": "b3dac37219c3866e977a5172c3cb3b210aded6576374dfd1c8e03ef075e2601f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05681",
    "kind": "arxiv",
    "version": 1
  }
}