Pith Number

pith:2EJ5X5B3

pith:2016:2EJ5X5B3NIFSQGHTMHN7RCXBGK

not attested not anchored not stored refs pending

Perfect vector sets, properly overlapping partitions, and largest empty box

Adrian Dumitrescu, Minghui Jiang

arxiv:1608.06874 v2 · 2016-08-24 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EJ5X5B3NIFSQGHTMHN7RCXBGK}

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	2026-05-18T01:02:20.527147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d113dbf43b6a0b2818f361dbf88ae1329177215c98d832bc2961206f5170c961

Aliases

arxiv: 1608.06874 · arxiv_version: 1608.06874v2 · doi: 10.48550/arxiv.1608.06874 · pith_short_12: 2EJ5X5B3NIFS · pith_short_16: 2EJ5X5B3NIFSQGHT · pith_short_8: 2EJ5X5B3

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/2EJ5X5B3NIFSQGHTMHN7RCXBGK \
  | 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: d113dbf43b6a0b2818f361dbf88ae1329177215c98d832bc2961206f5170c961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca8282da8cb229427b9d9e191e1d5b67abd315169f1137333eff0c31b2f4a45",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-24T15:48:25Z",
    "title_canon_sha256": "2818b1a3393ea6d1854de650308bc7d8926f22cabd627cdf0c8c3a349ea8e7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06874",
    "kind": "arxiv",
    "version": 2
  }
}