Pith Number

pith:H4DOS22U

pith:2018:H4DOS22UIZGZYVGE3EQYGW66KS

not attested not anchored not stored refs pending

Merging the A- and Q-spectral theories for digraphs

Ligong Wang, Wasin So, Weige Xi

arxiv:1810.11669 v1 · 2018-10-27 · 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{H4DOS22UIZGZYVGE3EQYGW66KS}

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	2026-05-18T00:02:07.815660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f06e96b54464d9c54c4d921835bde54ac2036cf7473fe4b8946ea6b5273a4a4

Aliases

arxiv: 1810.11669 · arxiv_version: 1810.11669v1 · doi: 10.48550/arxiv.1810.11669 · pith_short_12: H4DOS22UIZGZ · pith_short_16: H4DOS22UIZGZYVGE · pith_short_8: H4DOS22U

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/H4DOS22UIZGZYVGE3EQYGW66KS \
  | 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: 3f06e96b54464d9c54c4d921835bde54ac2036cf7473fe4b8946ea6b5273a4a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee8489b7bce0df978e8e0e48dd59ad1d52330b1b99301e8c5e2c00f23fda45d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-27T16:06:12Z",
    "title_canon_sha256": "07c9bb70588c5123374158cc56226dbc1ba2ba3833cb75d22cae4cf4f6968431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11669",
    "kind": "arxiv",
    "version": 1
  }
}