Pith Number

pith:E2DLYGFQ

pith:2014:E2DLYGFQXYAXWLI6TCMFHAKURT

not attested not anchored not stored refs pending

Eigenvectors of isospectral graph transformations

Maria Joana Torres, Pedro Duarte

arxiv:1412.7130 v2 · 2014-12-22 · 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{E2DLYGFQXYAXWLI6TCMFHAKURT}

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	2026-05-18T02:28:22.523326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2686bc18b0be017b2d1e98985381548cf02d47b9ee113a5d2712b4dc1c4d579f

Aliases

arxiv: 1412.7130 · arxiv_version: 1412.7130v2 · doi: 10.48550/arxiv.1412.7130 · pith_short_12: E2DLYGFQXYAX · pith_short_16: E2DLYGFQXYAXWLI6 · pith_short_8: E2DLYGFQ

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/E2DLYGFQXYAXWLI6TCMFHAKURT \
  | 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: 2686bc18b0be017b2d1e98985381548cf02d47b9ee113a5d2712b4dc1c4d579f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff549caa7dd2aca8c6f85e59d4fb95fd5397aab705e1c23060134d993d1ddc2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-22T20:24:08Z",
    "title_canon_sha256": "ed3d44872b432ae7894c00d999dda29fdb3b2c9f0b336370b2f9cd8293936586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7130",
    "kind": "arxiv",
    "version": 2
  }
}