Pith Number

pith:VYGNAW47

pith:2026:VYGNAW47VCC26KUIOXR4U3LH2P

not attested not anchored not stored refs pending

Edge Subdivision and the Perron Eigenvalue of Tree Ricci Matrices

Bobo Hua, Haoxuan Cheng, Shuliang Bai

arxiv:2605.30949 v1 · 2026-05-29 · 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{VYGNAW47VCC26KUIOXR4U3LH2P}

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	2026-06-01T01:03:27.191440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0cd05b9fa885af2a8875e3ca6d67d3e515caf1cd91b59a38f409712abf713d

Aliases

arxiv: 2605.30949 · arxiv_version: 2605.30949v1 · doi: 10.48550/arxiv.2605.30949 · pith_short_12: VYGNAW47VCC2 · pith_short_16: VYGNAW47VCC26KUI · pith_short_8: VYGNAW47

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/VYGNAW47VCC26KUIOXR4U3LH2P \
  | 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: ae0cd05b9fa885af2a8875e3ca6d67d3e515caf1cd91b59a38f409712abf713d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08f430b6f99a05374d4d0b0101aa16e6e11f5d6b6c84020a220fabdc60346c27",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-29T07:35:21Z",
    "title_canon_sha256": "ba332fc948c269e14d6645407c4a4d4848be36f08ac8a25a2e18583e28a77507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30949",
    "kind": "arxiv",
    "version": 1
  }
}