Pith Number

pith:OM7GH6BJ

pith:2016:OM7GH6BJNYUQAHHUSNVJCFCOOD

not attested not anchored not stored refs pending

Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$

Giorgis Petridis

arxiv:1610.03172 v2 · 2016-10-11 · 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{OM7GH6BJNYUQAHHUSNVJCFCOOD}

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	2026-05-18T00:01:23.685301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733e63f8296e29001cf4936a91144e70c2a0449fa33d805665fe4b23ebeaf00a

Aliases

arxiv: 1610.03172 · arxiv_version: 1610.03172v2 · doi: 10.48550/arxiv.1610.03172 · pith_short_12: OM7GH6BJNYUQ · pith_short_16: OM7GH6BJNYUQAHHU · pith_short_8: OM7GH6BJ

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/OM7GH6BJNYUQAHHUSNVJCFCOOD \
  | 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: 733e63f8296e29001cf4936a91144e70c2a0449fa33d805665fe4b23ebeaf00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca60d2e0f32f3b14e6c8e1f82349e09c498823693d4d2ba16669f0a08dd7616",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-11T03:45:54Z",
    "title_canon_sha256": "ff734f1d5698ab131aacb2500c4b8d8996cf7bd04793381a7a30a9778eed8518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03172",
    "kind": "arxiv",
    "version": 2
  }
}