Pith Number

pith:ZMQZR2Q3

pith:2017:ZMQZR2Q3CZPECG4QZQQA3IHIWX

not attested not anchored not stored refs pending

Computing upper bounds for optimal density of $(t,r)$ broadcasts on the infinite grid

Benjamin F. Drews, Pamela E. Harris, Timothy W. Randolph

arxiv:1712.00150 v1 · 2017-12-01 · 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{ZMQZR2Q3CZPECG4QZQQA3IHIWX}

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	2026-05-18T00:29:07.165965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2198ea1b165e411b90cc200da0e8b5eae0a3959e278695c51f7b529746e7fa

Aliases

arxiv: 1712.00150 · arxiv_version: 1712.00150v1 · doi: 10.48550/arxiv.1712.00150 · pith_short_12: ZMQZR2Q3CZPE · pith_short_16: ZMQZR2Q3CZPECG4Q · pith_short_8: ZMQZR2Q3

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/ZMQZR2Q3CZPECG4QZQQA3IHIWX \
  | 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: cb2198ea1b165e411b90cc200da0e8b5eae0a3959e278695c51f7b529746e7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44db278e232ae77c1b0873bfe6bb0388017010c77aedb8eb8072218bd31ea824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-01T01:54:01Z",
    "title_canon_sha256": "186eee9a355093d4d0c074f206c60cfe5ef9f3a93ca69b8e08bea7ca29833fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00150",
    "kind": "arxiv",
    "version": 1
  }
}