Pith Number

pith:HJ4IPSJU

pith:2011:HJ4IPSJU2MUYCIQFICJMC3MZFK

not attested not anchored not stored refs pending

Minimal resolving sets for the hypercube

Ashwin Ganesan

arxiv:1106.3632 v3 · 2011-06-18 · cs.DM · 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{HJ4IPSJU2MUYCIQFICJMC3MZFK}

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	2026-05-18T01:24:38.909688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7887c934d3298122054092c16d992a8489e1e475a2ee2023e50cc525ea84b4

Aliases

arxiv: 1106.3632 · arxiv_version: 1106.3632v3 · doi: 10.48550/arxiv.1106.3632 · pith_short_12: HJ4IPSJU2MUY · pith_short_16: HJ4IPSJU2MUYCIQF · pith_short_8: HJ4IPSJU

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/HJ4IPSJU2MUYCIQFICJMC3MZFK \
  | 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: 3a7887c934d3298122054092c16d992a8489e1e475a2ee2023e50cc525ea84b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a07d038cb82f199415a746e2975d25634938171dd9560a141e4ad1d4474d94",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-18T10:14:14Z",
    "title_canon_sha256": "5d9d57bfd2acb94efb5c32b4200fc589ae8caeed4254afe8ae2d6c9abd332da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3632",
    "kind": "arxiv",
    "version": 3
  }
}