Pith Number

pith:5NWHKVDC

pith:2016:5NWHKVDCNRCBBTY5DRWAATTKFG

not attested not anchored not stored refs pending

Bounds on the connected forcing number of a graph

Colton Magnant, Michael Henning, Randy Davila, Ryan Pepper

arxiv:1605.02124 v1 · 2016-05-07 · 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{5NWHKVDCNRCBBTY5DRWAATTKFG}

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	2026-05-18T01:15:22.025040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6c7554626c4410cf1d1c6c004e6a29b56f8388fcc5948fead046829595be64

Aliases

arxiv: 1605.02124 · arxiv_version: 1605.02124v1 · doi: 10.48550/arxiv.1605.02124 · pith_short_12: 5NWHKVDCNRCB · pith_short_16: 5NWHKVDCNRCBBTY5 · pith_short_8: 5NWHKVDC

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/5NWHKVDCNRCBBTY5DRWAATTKFG \
  | 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: eb6c7554626c4410cf1d1c6c004e6a29b56f8388fcc5948fead046829595be64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fbc3e6744c0ca5b3bd35ab64806de4c069c766906a1f41e627d5f0d8e0c1afc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-07T01:06:34Z",
    "title_canon_sha256": "2f3f372cad184bf898b296941d046c0eaedfc04ad3b0587ca9211a58ca6a836d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02124",
    "kind": "arxiv",
    "version": 1
  }
}