Pith Number

pith:XE2BHQM4

pith:2016:XE2BHQM4MQYWRO74D7PCPB4XQZ

not attested not anchored not stored refs pending

Collinear triples and quadruples for Cartesian products in $\mathbb{F}_p^2$

Giorgis Petridis

arxiv:1610.05620 v2 · 2016-10-18 · 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{XE2BHQM4MQYWRO74D7PCPB4XQZ}

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.

Cited by

1 paper in Pith

Some remarks on products of sets in the Heisenberg group and in the affine group

Receipt and verification

First computed	2026-05-18T00:51:02.949201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93413c19c643168bbfc1fde278797865e1d05e0480a744317bd734e1828a19c

Aliases

arxiv: 1610.05620 · arxiv_version: 1610.05620v2 · doi: 10.48550/arxiv.1610.05620 · pith_short_12: XE2BHQM4MQYW · pith_short_16: XE2BHQM4MQYWRO74 · pith_short_8: XE2BHQM4

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/XE2BHQM4MQYWRO74D7PCPB4XQZ \
  | 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: b93413c19c643168bbfc1fde278797865e1d05e0480a744317bd734e1828a19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd1d51d179dd54328e5d5c60af98c52ed0ca6e3b3a90bb075e77c1b3e2e9a71",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-18T13:57:39Z",
    "title_canon_sha256": "492e40a7686fc68322b00cd99835086c8a22fe408f32012a75be125efe3f0a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05620",
    "kind": "arxiv",
    "version": 2
  }
}