Pith Number

pith:O72VMRD3

pith:2017:O72VMRD3ZDQR7KHLPD5Y2X6D4N

not attested not anchored not stored refs pending

On the Steiner hyper-Wiener index of a graph

Niko Tratnik

arxiv:1710.07507 v2 · 2017-10-20 · 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{O72VMRD3ZDQR7KHLPD5Y2X6D4N}

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	2026-05-18T00:07:18.347982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f556447bc8e11fa8eb78fb8d5fc3e37d0a89cd67b4e3c9623021af4c3f25f2

Aliases

arxiv: 1710.07507 · arxiv_version: 1710.07507v2 · doi: 10.48550/arxiv.1710.07507 · pith_short_12: O72VMRD3ZDQR · pith_short_16: O72VMRD3ZDQR7KHL · pith_short_8: O72VMRD3

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/O72VMRD3ZDQR7KHLPD5Y2X6D4N \
  | 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: 77f556447bc8e11fa8eb78fb8d5fc3e37d0a89cd67b4e3c9623021af4c3f25f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf818f85bd82fb35bea29561473d96789f8c2f822b3e045212cc9956927ad4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-20T12:34:20Z",
    "title_canon_sha256": "0063add3b30c35455d25fd3642feda62a454186cffcd768404a41a4e52ab52f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07507",
    "kind": "arxiv",
    "version": 2
  }
}