Pith Number

pith:GUPMD3Q5

pith:2018:GUPMD3Q574RFHTEDHVHKEMIKTH

not attested not anchored not stored refs pending

On the roots of Wiener polynomials of graphs

Jason I. Brown, Lucas Mol, Ortrud Oellermann

arxiv:1801.03985 v1 · 2018-01-11 · 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{GUPMD3Q574RFHTEDHVHKEMIKTH}

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	2026-05-18T00:26:12.232418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351ec1ee1dff2253cc833d4ea2310a99dc71b49f0fdfd593ae46b73848f7b030

Aliases

arxiv: 1801.03985 · arxiv_version: 1801.03985v1 · doi: 10.48550/arxiv.1801.03985 · pith_short_12: GUPMD3Q574RF · pith_short_16: GUPMD3Q574RFHTED · pith_short_8: GUPMD3Q5

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/GUPMD3Q574RFHTEDHVHKEMIKTH \
  | 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: 351ec1ee1dff2253cc833d4ea2310a99dc71b49f0fdfd593ae46b73848f7b030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df5be86f84fd60134960060e39ffeb91dafc5465086e206ab24694fc8afb7802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-11T20:46:20Z",
    "title_canon_sha256": "1b4c38e4f8be682a7eb976f7b62de0a7af80a270b30c2fb29456cc1cefa40c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03985",
    "kind": "arxiv",
    "version": 1
  }
}