Pith Number

pith:7XMJP4VN

pith:2014:7XMJP4VNV4ZQHKWMMTTY2QEKIJ

not attested not anchored not stored refs pending

Bounds for the Zero-Forcing Number of Graphs with Large Girth

Franklin Kenter, Randy Davila

arxiv:1406.0482 v2 · 2014-06-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XMJP4VNV4ZQHKWMMTTY2QEKIJ}

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	2026-05-18T02:49:53.354591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd897f2adaf3303aacc64e78d408a427140dc5cd34aa74a4d569bcb8163baed

Aliases

arxiv: 1406.0482 · arxiv_version: 1406.0482v2 · doi: 10.48550/arxiv.1406.0482 · pith_short_12: 7XMJP4VNV4ZQ · pith_short_16: 7XMJP4VNV4ZQHKWM · pith_short_8: 7XMJP4VN

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/7XMJP4VNV4ZQHKWMMTTY2QEKIJ \
  | 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: fdd897f2adaf3303aacc64e78d408a427140dc5cd34aa74a4d569bcb8163baed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4feeb391aee13ce8d64eb9cf1c18d32cf3e9c025b56d9d1df1b751b6d6c1e82",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-02T19:23:43Z",
    "title_canon_sha256": "c4c8813ac6c4575ac5b43b1be0a48666950c22d22767eecc950f6eaaf8e33235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0482",
    "kind": "arxiv",
    "version": 2
  }
}