Pith Number

pith:AVD2CNQG

pith:2018:AVD2CNQGWM37G5NPAQNE2YPZB6

not attested not anchored not stored refs pending

Some Mixed Graphs Determined by Their Spectrum

A. Ghafari, M.A. Nematollahi, M. Nahvi, S. Akbari

arxiv:1806.03634 v1 · 2018-06-10 · 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{AVD2CNQGWM37G5NPAQNE2YPZB6}

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	2026-05-18T00:13:42.670530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0547a13606b337f375af041a4d61f90faa1fd4f28eabd3ce549fb8464218e035

Aliases

arxiv: 1806.03634 · arxiv_version: 1806.03634v1 · doi: 10.48550/arxiv.1806.03634 · pith_short_12: AVD2CNQGWM37 · pith_short_16: AVD2CNQGWM37G5NP · pith_short_8: AVD2CNQG

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/AVD2CNQGWM37G5NPAQNE2YPZB6 \
  | 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: 0547a13606b337f375af041a4d61f90faa1fd4f28eabd3ce549fb8464218e035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686e3055ee04d5afa78755c0232630aeb465be1c5637e40eccba52a14871c370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-10T10:53:57Z",
    "title_canon_sha256": "9c827696aad880820742d3f9f4b60f9a70a06b3b1d8e0ae2a38756aa45fd8b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03634",
    "kind": "arxiv",
    "version": 1
  }
}