Pith Number

pith:IVVASILH

pith:2015:IVVASILH22MCPVNHLWWKUQ4HKD

not attested not anchored not stored refs pending

On the Class of Similar Square {-1,0,1}-Matrices Arising from Vertex maps on Trees

Bau-Sen Du

arxiv:1503.04568 v1 · 2015-03-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVVASILH22MCPVNHLWWKUQ4HKD}

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	2026-05-18T02:23:24.661769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

456a092167d69827d5a75dacaa438750cde30c638ee5501c94d30e01c464cd2f

Aliases

arxiv: 1503.04568 · arxiv_version: 1503.04568v1 · doi: 10.48550/arxiv.1503.04568 · pith_short_12: IVVASILH22MC · pith_short_16: IVVASILH22MCPVNH · pith_short_8: IVVASILH

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/IVVASILH22MCPVNHLWWKUQ4HKD \
  | 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: 456a092167d69827d5a75dacaa438750cde30c638ee5501c94d30e01c464cd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3217ae4773c139dc70e7540a6fb7e23bb9c4a1758f5e8a1afc3f1f424f006bd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-16T08:29:34Z",
    "title_canon_sha256": "48559b04a3ae6bc914e608440949e09ed213f3c3c7c5344e8d12982e46904d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04568",
    "kind": "arxiv",
    "version": 1
  }
}