Pith Number

pith:TSVV6K2D

pith:2011:TSVV6K2D4MWWPYYDOOAC56RV6I

not attested not anchored not stored refs pending

Iteration Index of a Zero Forcing Set in a Graph

Cong X. Kang, Eunjeong Yi, Kiran B. Chilakamarri, Nathaniel Dean

arxiv:1105.1492 v1 · 2011-05-08 · 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{TSVV6K2D4MWWPYYDOOAC56RV6I}

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	2026-05-18T02:22:00.549175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cab5f2b43e32d67e30373802efa35f220b9a8ff5a21d1986329ad46a6b1408c

Aliases

arxiv: 1105.1492 · arxiv_version: 1105.1492v1 · doi: 10.48550/arxiv.1105.1492 · pith_short_12: TSVV6K2D4MWW · pith_short_16: TSVV6K2D4MWWPYYD · pith_short_8: TSVV6K2D

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/TSVV6K2D4MWWPYYDOOAC56RV6I \
  | 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: 9cab5f2b43e32d67e30373802efa35f220b9a8ff5a21d1986329ad46a6b1408c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e57b91f8ececcf5e0af50a02d826e7704b7a0e453dc1835096e09217e20bed14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-08T06:07:55Z",
    "title_canon_sha256": "035b567041d9d00b83ededd80956b6b095081a7cb7aed231190a9ab336f6afd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1492",
    "kind": "arxiv",
    "version": 1
  }
}