Pith Number

pith:AKXR3SIW

pith:2009:AKXR3SIWCHJJAG6VZ7C2IXAJJH

not attested not anchored not stored refs pending

Isospectral Graph Reductions and Improved Estimates of Matrices' Spectra

B. Z. Webb, L. A. Bunimovich

arxiv:0911.2453 v2 · 2009-11-12 · math.SP · math.CO · 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{AKXR3SIWCHJJAG6VZ7C2IXAJJH}

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	2026-05-18T02:24:46.337590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02af1dc91611d2901bd5cfc5a45c0949efb80a7d53a0aa21df5b47429492fa85

Aliases

arxiv: 0911.2453 · arxiv_version: 0911.2453v2 · doi: 10.48550/arxiv.0911.2453 · pith_short_12: AKXR3SIWCHJJ · pith_short_16: AKXR3SIWCHJJAG6V · pith_short_8: AKXR3SIW

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/AKXR3SIWCHJJAG6VZ7C2IXAJJH \
  | 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: 02af1dc91611d2901bd5cfc5a45c0949efb80a7d53a0aa21df5b47429492fa85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1391f30c56e9d559fdb539d718742a21c5e360f40d49783a9aad3b6d4d571408",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-11-12T19:40:13Z",
    "title_canon_sha256": "f96e79301c7d78d6b965099e9a0092d91de8f292aa0011d2e2ae5315ca03225d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2453",
    "kind": "arxiv",
    "version": 2
  }
}