Pith Number

pith:IOO7OZR2

pith:2018:IOO7OZR2OQDMPTEBXY7N6TV3RX

not attested not anchored not stored refs pending

On minimal edge version of doubly resolving sets of a graph

Muhammad Ahmad, Sohail Zafar, Zohaib Zahid

arxiv:1807.02365 v1 · 2018-07-06 · 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{IOO7OZR2OQDMPTEBXY7N6TV3RX}

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	2026-05-18T00:11:22.289365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439df7663a7406c7cc81be3edf4ebb8dd2fe6dc7f2c7d5153902f11526182443

Aliases

arxiv: 1807.02365 · arxiv_version: 1807.02365v1 · doi: 10.48550/arxiv.1807.02365 · pith_short_12: IOO7OZR2OQDM · pith_short_16: IOO7OZR2OQDMPTEB · pith_short_8: IOO7OZR2

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/IOO7OZR2OQDMPTEBXY7N6TV3RX \
  | 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: 439df7663a7406c7cc81be3edf4ebb8dd2fe6dc7f2c7d5153902f11526182443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45bbb09f36fb759a4f8fa930d6c61f3ea37f9a156a2a1e7e8b0bc13c5e6b2b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-06T11:48:50Z",
    "title_canon_sha256": "4e2640e0d9a4632a69eeccef21c20ef8ade54161592effeefa0eb2d0a4630cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02365",
    "kind": "arxiv",
    "version": 1
  }
}