Pith Number

pith:DBLBT3LK

pith:2013:DBLBT3LKJD3YDXQ4EH7ONHSPSE

not attested not anchored not stored refs pending

Combinatorial proof of the skew K-saturation theorem

Per Alexandersson

arxiv:1307.3999 v3 · 2013-07-15 · 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{DBLBT3LKJD3YDXQ4EH7ONHSPSE}

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	2026-05-18T00:01:11.010719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

185619ed6a48f781de1c21fee69e4f912cf957c7b96f8932cf403e63ad13ce97

Aliases

arxiv: 1307.3999 · arxiv_version: 1307.3999v3 · doi: 10.48550/arxiv.1307.3999 · pith_short_12: DBLBT3LKJD3Y · pith_short_16: DBLBT3LKJD3YDXQ4 · pith_short_8: DBLBT3LK

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/DBLBT3LKJD3YDXQ4EH7ONHSPSE \
  | 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: 185619ed6a48f781de1c21fee69e4f912cf957c7b96f8932cf403e63ad13ce97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "037b30fc2d14510fa12d1f4acd8a22a431addbb03f81f49382e7cdd4ea26b3b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-15T16:01:58Z",
    "title_canon_sha256": "9a1f9a6bdb0a462933cd9842020e27efa44e2097c9ffe28de10b6af43d41f7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3999",
    "kind": "arxiv",
    "version": 3
  }
}