Pith Number

pith:ELIWU5HR

pith:2026:ELIWU5HR67D4TQWBZMB7R7QOTE

not attested not anchored not stored refs pending

Spectral Monotonicity under Leaf Attachment and Limiting Behavior in Discrete Einstein Trees

Bobo Hua, Haoxuan Cheng, Shuliang Bai

arxiv:2605.23379 v1 · 2026-05-22 · math.DG · 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{ELIWU5HR67D4TQWBZMB7R7QOTE}

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	2026-05-25T02:01:51.601097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d16a74f1f7c7c9c2c1cb03f8fe0e992b92fcb664c0cca751417d5207770d07

Aliases

arxiv: 2605.23379 · arxiv_version: 2605.23379v1 · doi: 10.48550/arxiv.2605.23379 · pith_short_12: ELIWU5HR67D4 · pith_short_16: ELIWU5HR67D4TQWB · pith_short_8: ELIWU5HR

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/ELIWU5HR67D4TQWBZMB7R7QOTE \
  | 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: 22d16a74f1f7c7c9c2c1cb03f8fe0e992b92fcb664c0cca751417d5207770d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5c2771a1b046f47e9b92589873d011b50453ea153c504657f8eb696e38b03f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-22T08:47:33Z",
    "title_canon_sha256": "82cdba50fd7d8d108c98fd16ce13ef42a0f7517c590b3560352328a2ed9039ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23379",
    "kind": "arxiv",
    "version": 1
  }
}