Pith Number

pith:GHB45ZIL

pith:2008:GHB45ZIL73PLWSWNLI5KKX65V2

not attested not anchored not stored refs pending

A Class of Graph-Geodetic Distances Generalizing the Shortest-Path and the Resistance Distances

Pavel Chebotarev

arxiv:0810.2717 v8 · 2008-10-15 · math.CO · cs.DM · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHB45ZIL73PLWSWNLI5KKX65V2}

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	2026-05-18T04:31:12.256631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c3cee50bfedebb4acd5a3aa55fddae8dfb6ed866964156bd83f4f923bd4ca1

Aliases

arxiv: 0810.2717 · arxiv_version: 0810.2717v8 · doi: 10.48550/arxiv.0810.2717 · pith_short_12: GHB45ZIL73PL · pith_short_16: GHB45ZIL73PLWSWN · pith_short_8: GHB45ZIL

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/GHB45ZIL73PLWSWNLI5KKX65V2 \
  | 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: 31c3cee50bfedebb4acd5a3aa55fddae8dfb6ed866964156bd83f4f923bd4ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf06fc7ad40e5c6c3ba5a4f05799d827a2c5d241b35b23526839754dc4375879",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-15T16:07:04Z",
    "title_canon_sha256": "f5056694a957db0f4c7ffb143e71368db9d856661a69b61f79121e6fbde7acb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2717",
    "kind": "arxiv",
    "version": 8
  }
}