Pith Number

pith:NGQJPJXV

pith:2016:NGQJPJXVWGWRPXRV7TORYLTS7G

not attested not anchored not stored refs pending

Isospectral Reduction in Infinite Graphs

Maria Joana Torres, Pedro Duarte

arxiv:1607.05957 v2 · 2016-07-20 · 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{NGQJPJXVWGWRPXRV7TORYLTS7G}

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	2026-05-18T00:12:25.260214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a097a6f5b1ad17de35fcdd1c2e72f99defea03f9c388ee7f1c33d448f17342

Aliases

arxiv: 1607.05957 · arxiv_version: 1607.05957v2 · doi: 10.48550/arxiv.1607.05957 · pith_short_12: NGQJPJXVWGWR · pith_short_16: NGQJPJXVWGWRPXRV · pith_short_8: NGQJPJXV

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/NGQJPJXVWGWRPXRV7TORYLTS7G \
  | 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: 69a097a6f5b1ad17de35fcdd1c2e72f99defea03f9c388ee7f1c33d448f17342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bcf6360529505cd2fa57de77ab2c251fc94e5b152ff0f2b109670a1791c2ab6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-20T13:53:38Z",
    "title_canon_sha256": "28f9bf80f003062c496291d8256bb1de6af56c9f5c69ec6c0c0483fb5ce43c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05957",
    "kind": "arxiv",
    "version": 2
  }
}