Pith Number

pith:FRSNX46F

pith:2017:FRSNX46FY6MHR2RY3TG6SFZJ63

not attested not anchored not stored refs pending

Connected zero forcing sets and connected propagation time of graphs

A. Sheikhhosseni, M. Khosravi, S. Rashidi 2

arxiv:1702.06711 v1 · 2017-02-22 · 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{FRSNX46FY6MHR2RY3TG6SFZJ63}

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	2026-05-18T00:50:12.871311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c64dbf3c5c79878ea38dccde91729f6d6f97384f790b78274c977c805b5e9b8

Aliases

arxiv: 1702.06711 · arxiv_version: 1702.06711v1 · doi: 10.48550/arxiv.1702.06711 · pith_short_12: FRSNX46FY6MH · pith_short_16: FRSNX46FY6MHR2RY · pith_short_8: FRSNX46F

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/FRSNX46FY6MHR2RY3TG6SFZJ63 \
  | 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: 2c64dbf3c5c79878ea38dccde91729f6d6f97384f790b78274c977c805b5e9b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d91d8025b8791dc76dcab8952d2907e91dbd6d91955baada5c5be5e7e29b2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-22T09:05:38Z",
    "title_canon_sha256": "4d846a113bb964c0e75045267ce0dde353be1419e2a7ea37e3ebf1731b1c7b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06711",
    "kind": "arxiv",
    "version": 1
  }
}