Pith Number

pith:KGR6R7W5

pith:2017:KGR6R7W5Q5MX4KB3JNFNVG3E5N

not attested not anchored not stored refs pending

On Continuity Properties for Infinite Rectangle Packing

Zhiheng Liu

arxiv:1705.02443 v1 · 2017-05-06 · math.CO · cs.DM · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGR6R7W5Q5MX4KB3JNFNVG3E5N}

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	2026-05-18T00:44:56.533830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a3e8fedd87597e283b4b4ada9b64eb4b53a147a69dca070ea3731209107ea6

Aliases

arxiv: 1705.02443 · arxiv_version: 1705.02443v1 · doi: 10.48550/arxiv.1705.02443 · pith_short_12: KGR6R7W5Q5MX · pith_short_16: KGR6R7W5Q5MX4KB3 · pith_short_8: KGR6R7W5

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/KGR6R7W5Q5MX4KB3JNFNVG3E5N \
  | 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: 51a3e8fedd87597e283b4b4ada9b64eb4b53a147a69dca070ea3731209107ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9915de484c13a0c378af0486f6f7cfdc5ea671553d0b2268b884fb291ec51979",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-06T04:26:13Z",
    "title_canon_sha256": "e39b230a09dbc1ee12e8b1831f00b4006d3dd0ffa2f6ab972ebcd1985c06a5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02443",
    "kind": "arxiv",
    "version": 1
  }
}