Pith Number

pith:7I5KTRCH

pith:2012:7I5KTRCHH4MKOJEAI3LFPBYGQ3

not attested not anchored not stored refs pending

On ideal minimally non-packing clutters

Kenji Kashiwabara, Tadashi Sakuma

arxiv:1210.4753 v1 · 2012-10-17 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I5KTRCHH4MKOJEAI3LFPBYGQ3}

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	2026-05-18T03:42:56.274301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa3aa9c4473f18a7248046d657870686d5f3fb132ff44e1c68d68c0da12f444d

Aliases

arxiv: 1210.4753 · arxiv_version: 1210.4753v1 · doi: 10.48550/arxiv.1210.4753 · pith_short_12: 7I5KTRCHH4MK · pith_short_16: 7I5KTRCHH4MKOJEA · pith_short_8: 7I5KTRCH

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/7I5KTRCHH4MKOJEAI3LFPBYGQ3 \
  | 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: fa3aa9c4473f18a7248046d657870686d5f3fb132ff44e1c68d68c0da12f444d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76aa2e65b6837407c8dc4b9dc317dd281a2ade5d11da8fd2b494f2e66e38e4a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-17T14:43:02Z",
    "title_canon_sha256": "11a5225ced5407e291405a5fa4740fb62c7906bb7f5177b574fb1cc7850948b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4753",
    "kind": "arxiv",
    "version": 1
  }
}