Pith Number

pith:DOUUASEF

pith:2019:DOUUASEF45Q2EZJO23YCND7H5W

not attested not anchored not stored refs pending

Hyperplanes in Configurations, decompositions, and Pascal Triangle of Configurations

Krzysztof Pra\.zmowski

arxiv:1907.09165 v1 · 2019-07-22 · 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{DOUUASEF45Q2EZJO23YCND7H5W}

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	2026-05-17T23:39:59.957917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba9404885e761a2652ed6f0268fe7ed874d61f02c96293f6d41644522908a45

Aliases

arxiv: 1907.09165 · arxiv_version: 1907.09165v1 · doi: 10.48550/arxiv.1907.09165 · pith_short_12: DOUUASEF45Q2 · pith_short_16: DOUUASEF45Q2EZJO · pith_short_8: DOUUASEF

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/DOUUASEF45Q2EZJO23YCND7H5W \
  | 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: 1ba9404885e761a2652ed6f0268fe7ed874d61f02c96293f6d41644522908a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf9cb16f4187bdfd4c1bae2a287addba68dc3213a082ac94a843980d31c352c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-22T07:35:15Z",
    "title_canon_sha256": "ef52e289bae54c62dae2bf9a8a5c020f81ca267df8d7634fda6e6cce8faec27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09165",
    "kind": "arxiv",
    "version": 1
  }
}