Pith Number

pith:JTBEUQJ7

pith:2010:JTBEUQJ7TURQIJ5ZZOJ25FBTXM

not attested not anchored not stored refs pending

Zero Forcing Sets and Bipartite Circulants

Seth A. Meyer

arxiv:1011.5851 v1 · 2010-11-26 · 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{JTBEUQJ7TURQIJ5ZZOJ25FBTXM}

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	2026-05-18T04:34:38.403414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc24a413f9d230427b9cb93ae9433bb392c0d18543e3917278689fb12aa021b

Aliases

arxiv: 1011.5851 · arxiv_version: 1011.5851v1 · doi: 10.48550/arxiv.1011.5851 · pith_short_12: JTBEUQJ7TURQ · pith_short_16: JTBEUQJ7TURQIJ5Z · pith_short_8: JTBEUQJ7

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/JTBEUQJ7TURQIJ5ZZOJ25FBTXM \
  | 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: 4cc24a413f9d230427b9cb93ae9433bb392c0d18543e3917278689fb12aa021b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1326a5bf6a1089ee2c8a2b1c63611d0f03dad2cdade429ed46d881323bc862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-26T17:59:24Z",
    "title_canon_sha256": "d171323a1e56ee8cde31dedfef44792f2c81366d4b7feb28040bad3b418ad362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5851",
    "kind": "arxiv",
    "version": 1
  }
}