Pith Number

pith:7YRCHUSN

pith:2005:7YRCHUSNAW26I2L2LDZXXSUCW5

not attested not anchored not stored refs pending

A bijection between the d-dimensional simplices with distances in {1,2} and the partitions of d+1

Christian Haase, Sascha Kurz

arxiv:math/0506427 v1 · 2005-06-21 · 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{7YRCHUSNAW26I2L2LDZXXSUCW5}

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	2026-07-04T14:40:04.655739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe2223d24d05b5e4697a58f37bca82b771a60131ded2e9a4aa2b9c86fc5c9972

Aliases

arxiv: math/0506427 · arxiv_version: math/0506427v1 · doi: 10.48550/arxiv.math/0506427 · pith_short_12: 7YRCHUSNAW26 · pith_short_16: 7YRCHUSNAW26I2L2 · pith_short_8: 7YRCHUSN

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/7YRCHUSNAW26I2L2LDZXXSUCW5 \
  | 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: fe2223d24d05b5e4697a58f37bca82b771a60131ded2e9a4aa2b9c86fc5c9972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cd9882480beab17c7ffc56ab8ed86dc7c106a788836843231ea3c0b3c60b251",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-06-21T11:38:14Z",
    "title_canon_sha256": "dd4161636351a24abf516d3145e26df4b1395b38e045f545b7ff07e9602b3480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506427",
    "kind": "arxiv",
    "version": 1
  }
}