Pith Number

pith:HDVEX45R

pith:2021:HDVEX45RQY5XISWUH3SNRCBEJS

not attested not anchored not stored refs pending

Permutations of point sets in $\mathbb{R}^d$

Alvaro Carbonero, Beth Anne Castellano, Brittany Ohlinger, Charles Kulick, Gary Gordon, Karie Schmitz

arxiv:2106.14140 v2 · 2021-06-27 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDVEX45RQY5XISWUH3SNRCBEJS}

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	2026-07-05T05:57:29.034403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ea4bf3b1863b744ad43ee4d888244c8ffad09fff0d7f84befbd0a71270f427

Aliases

arxiv: 2106.14140 · arxiv_version: 2106.14140v2 · doi: 10.48550/arxiv.2106.14140 · pith_short_12: HDVEX45RQY5X · pith_short_16: HDVEX45RQY5XISWU · pith_short_8: HDVEX45R

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/HDVEX45RQY5XISWUH3SNRCBEJS \
  | 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: 38ea4bf3b1863b744ad43ee4d888244c8ffad09fff0d7f84befbd0a71270f427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bdc8798a27e8cf39fe58c35cbd900851dff64bee4abad3a075937e4f9737e21",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-27T04:22:49Z",
    "title_canon_sha256": "11be09933a0ac00af5ddc4f460d397c9d15dcf2953b2ee7fe14f85233acecc7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14140",
    "kind": "arxiv",
    "version": 2
  }
}