Pith Number

pith:3ZDM6WMD

pith:2016:3ZDM6WMDG25VTQ63H45UMU55MV

not attested not anchored not stored refs pending

An Explicit Formula for the Eigenvectors of Acyclic Matrices and Weighted Trees

Asghar Bahmani, Dariush Kiani

arxiv:1609.02399 v1 · 2016-09-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZDM6WMDG25VTQ63H45UMU55MV}

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	2026-05-18T01:04:54.763304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de46cf598336bb59c3db3f3b4653bd6568c90d8833b2862a8826d02e0a511ef3

Aliases

arxiv: 1609.02399 · arxiv_version: 1609.02399v1 · doi: 10.48550/arxiv.1609.02399 · pith_short_12: 3ZDM6WMDG25V · pith_short_16: 3ZDM6WMDG25VTQ63 · pith_short_8: 3ZDM6WMD

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/3ZDM6WMDG25VTQ63H45UMU55MV \
  | 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: de46cf598336bb59c3db3f3b4653bd6568c90d8833b2862a8826d02e0a511ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb5b2dfefa2dbbd8793281f50055b89c9e5cfde08796cdd2739869dad08cace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-08T12:44:47Z",
    "title_canon_sha256": "bc91b50cfda44c4df8a45336d189adeeea033ccf421db36eb446bd45332ccbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02399",
    "kind": "arxiv",
    "version": 1
  }
}