Pith Number

pith:XD7Q3IS6

pith:2014:XD7Q3IS65GGY6URGI2TTEXQFPV

not attested not anchored not stored refs pending

Double-normal pairs in space

J\'anos Pach, Konrad Swanepoel

arxiv:1404.0419 v1 · 2014-04-01 · math.MG · 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{XD7Q3IS65GGY6URGI2TTEXQFPV}

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	2026-05-17T23:53:34.960807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8ff0da25ee98d8f522646a7325e057d71d5c7fcedd5efc84f36faf66eef9cde

Aliases

arxiv: 1404.0419 · arxiv_version: 1404.0419v1 · doi: 10.48550/arxiv.1404.0419 · pith_short_12: XD7Q3IS65GGY · pith_short_16: XD7Q3IS65GGY6URG · pith_short_8: XD7Q3IS6

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/XD7Q3IS65GGY6URGI2TTEXQFPV \
  | 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: b8ff0da25ee98d8f522646a7325e057d71d5c7fcedd5efc84f36faf66eef9cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0acabd0ea6bd9672ae06ce2e56cbf1a4fa9dfce7a51d395c8c7538849101695",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-04-01T23:54:45Z",
    "title_canon_sha256": "d409fb1e5cc3602641280016c8f4308da8bb2da251a26f6a4c4e417d3b04bc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0419",
    "kind": "arxiv",
    "version": 1
  }
}