Pith Number

pith:DIPZ7YR4

pith:2018:DIPZ7YR47WZH4BPUUH2HFLSKQL

not attested not anchored not stored refs pending

Spectral characterization of the complete graph removing a path of small length

Lihuan Mao, Sebastian M. Cioab\u{a}, Wei Wang

arxiv:1804.08263 v1 · 2018-04-23 · 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{DIPZ7YR47WZH4BPUUH2HFLSKQL}

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	2026-05-18T00:17:49.021867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1f9fe23cfdb27e05f4a1f472ae4a82d608c2a4d43477b051f459f092b91c2e

Aliases

arxiv: 1804.08263 · arxiv_version: 1804.08263v1 · doi: 10.48550/arxiv.1804.08263 · pith_short_12: DIPZ7YR47WZH · pith_short_16: DIPZ7YR47WZH4BPU · pith_short_8: DIPZ7YR4

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/DIPZ7YR47WZH4BPUUH2HFLSKQL \
  | 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: 1a1f9fe23cfdb27e05f4a1f472ae4a82d608c2a4d43477b051f459f092b91c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0229071af07775901cbab8f519c87ec7ec5e4df9daaec47ddd00514be0367bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-23T07:05:26Z",
    "title_canon_sha256": "713d511325e26db5b5364bb01c071b71b691204298bc3ebc792d944e39154edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08263",
    "kind": "arxiv",
    "version": 1
  }
}