Pith Number

pith:IVK2OXQG

pith:2017:IVK2OXQGBSL6ZAJ2OLDGOEOKMK

not attested not anchored not stored refs pending

Zero forcing number of graphs

Benny Sudakov, Nina Kam\v{c}ev, Thomas Kalinowski

arxiv:1705.10391 v2 · 2017-05-29 · 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{IVK2OXQGBSL6ZAJ2OLDGOEOKMK}

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	2026-05-18T00:43:08.055332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4555a75e060c97ec813a72c66711ca6294e91ce5f33535d63ff3cde08330d973

Aliases

arxiv: 1705.10391 · arxiv_version: 1705.10391v2 · doi: 10.48550/arxiv.1705.10391 · pith_short_12: IVK2OXQGBSL6 · pith_short_16: IVK2OXQGBSL6ZAJ2 · pith_short_8: IVK2OXQG

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/IVK2OXQGBSL6ZAJ2OLDGOEOKMK \
  | 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: 4555a75e060c97ec813a72c66711ca6294e91ce5f33535d63ff3cde08330d973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d437b24d1276a8af92ac0cfe4075a8eef7b624bfa20d0e679ce9ad9c5dd7a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-29T20:44:09Z",
    "title_canon_sha256": "1ec2811cf545413d0f51adc47fc2e57c97dacdddf593069f67f7fadb2c2fafee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10391",
    "kind": "arxiv",
    "version": 2
  }
}