Pith Number

pith:KK5EQ4FB

pith:2014:KK5EQ4FBYHDFT3CBEUDZLCBAMK

not attested not anchored not stored refs pending

Minimum Weight Resolving Sets of Grid Graphs

Cyriac Grigorious, Mirka Miller, Patrick Andersen

arxiv:1409.4510 v1 · 2014-09-16 · 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{KK5EQ4FBYHDFT3CBEUDZLCBAMK}

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	2026-05-18T01:12:01.932501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ba4870a1c1c659ec412507958820629476568bd00c6dde92cf595cacdabd7f

Aliases

arxiv: 1409.4510 · arxiv_version: 1409.4510v1 · doi: 10.48550/arxiv.1409.4510 · pith_short_12: KK5EQ4FBYHDF · pith_short_16: KK5EQ4FBYHDFT3CB · pith_short_8: KK5EQ4FB

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/KK5EQ4FBYHDFT3CBEUDZLCBAMK \
  | 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: 52ba4870a1c1c659ec412507958820629476568bd00c6dde92cf595cacdabd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cbbc82f01463b314ef8c96b233d02925cbe0d6be5be52678918ab7edb0bd08d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-16T05:25:14Z",
    "title_canon_sha256": "0040e22bf90c66877668c34c9b1ed194e0763b4f8abd435797e327377f518059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4510",
    "kind": "arxiv",
    "version": 1
  }
}