Pith Number

pith:3LAEQYWP

pith:2018:3LAEQYWP7XTDGCYJGSU3JJ2AT6

not attested not anchored not stored refs pending

New families of graphs determined by their generalized spectrum

Fenjin Liu, Johannes Siemons, Wei Wang

arxiv:1803.11275 v3 · 2018-03-29 · 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{3LAEQYWP7XTDGCYJGSU3JJ2AT6}

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	2026-05-18T00:06:40.306659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac04862cffde6330b0934a9b4a7409fb72e2a368bf8e4536c7793d88abc6a65

Aliases

arxiv: 1803.11275 · arxiv_version: 1803.11275v3 · doi: 10.48550/arxiv.1803.11275 · pith_short_12: 3LAEQYWP7XTD · pith_short_16: 3LAEQYWP7XTDGCYJ · pith_short_8: 3LAEQYWP

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/3LAEQYWP7XTDGCYJGSU3JJ2AT6 \
  | 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: dac04862cffde6330b0934a9b4a7409fb72e2a368bf8e4536c7793d88abc6a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214826f876c0093ec3ac76c6b6b4b8761ff8a9ec2e065886120239cd7368e039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-29T22:35:29Z",
    "title_canon_sha256": "dfa4888bbe5e6fb57813c5dd0666dfb537e9754c45b0865ad1bdec43d7e6b259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11275",
    "kind": "arxiv",
    "version": 3
  }
}