Pith Number

pith:YIGNZ4PP

pith:2016:YIGNZ4PPL3DJO737ZAQLUTWCRZ

not attested not anchored not stored refs pending

Square-free Discriminants of Matrices and the Generalized Spectral Characterizations of Graphs

Tao Yu, Wei Wang

arxiv:1608.01144 v1 · 2016-08-03 · 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{YIGNZ4PPL3DJO737ZAQLUTWCRZ}

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.

Cited by

1 paper in Pith

Finding all cospectral mates over a number field

Receipt and verification

First computed	2026-05-18T01:09:56.439754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20cdcf1ef5ec6977f7fc820ba4ec28e65df447e605b688f6206c40720971fde

Aliases

arxiv: 1608.01144 · arxiv_version: 1608.01144v1 · doi: 10.48550/arxiv.1608.01144 · pith_short_12: YIGNZ4PPL3DJ · pith_short_16: YIGNZ4PPL3DJO737 · pith_short_8: YIGNZ4PP

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/YIGNZ4PPL3DJO737ZAQLUTWCRZ \
  | 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: c20cdcf1ef5ec6977f7fc820ba4ec28e65df447e605b688f6206c40720971fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a4a520af98dab959598b68bc18a055a082abecb49b5621b51d4b4afa80df86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-03T10:54:14Z",
    "title_canon_sha256": "b436223e2f504a94f08387f57ca926f144b0464f21ac5bb15d0d843e613fccc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01144",
    "kind": "arxiv",
    "version": 1
  }
}