Pith Number

pith:D5JA2SZD

pith:2018:D5JA2SZDHHIKAWERHXWDUJJHDL

not attested not anchored not stored refs pending

Bounds for Different Spreads of Line and Total Graphs

E. Andrade, E. Lenes, E. Mallea, Jonnathan Rodr\'iguez, M. Robbiano

arxiv:1807.02899 v1 · 2018-07-08 · math.SP · 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{D5JA2SZDHHIKAWERHXWDUJJHDL}

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	2026-05-18T00:11:13.397276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f520d4b2339d0a058913dec3a25271ae8461ef43cfe1155fce060bdc89996dc

Aliases

arxiv: 1807.02899 · arxiv_version: 1807.02899v1 · doi: 10.48550/arxiv.1807.02899 · pith_short_12: D5JA2SZDHHIK · pith_short_16: D5JA2SZDHHIKAWER · pith_short_8: D5JA2SZD

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/D5JA2SZDHHIKAWERHXWDUJJHDL \
  | 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: 1f520d4b2339d0a058913dec3a25271ae8461ef43cfe1155fce060bdc89996dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e72eb6506287f88f4a25044b34caa5dd56c1c741901d80e36c56c9b002b898",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-07-08T23:49:14Z",
    "title_canon_sha256": "e295ae4f6e33c7103aa8ea99f943d3c73f65ed2f43fd10c9a5aa7f30114f83d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02899",
    "kind": "arxiv",
    "version": 1
  }
}