Pith Number

pith:MLWMPRRJ

pith:2024:MLWMPRRJZOHPN3OW33R7TOFUSN

not attested not anchored not stored refs pending

Exponential odd-distance sets under the Manhattan metric

Alberto Espuny D\'iaz, Emma Hogan, Freddie Illingworth, Julien Portier, Jun Yan, Lukas Michel

arxiv:2410.18281 v1 · 2024-10-23 · 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{MLWMPRRJZOHPN3OW33R7TOFUSN}

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	2026-07-05T09:25:05.676549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ecc7c629cb8ef6edd6dee3f9b8b493651223886cfa6222e87c43e6529aeb28

Aliases

arxiv: 2410.18281 · arxiv_version: 2410.18281v1 · doi: 10.48550/arxiv.2410.18281 · pith_short_12: MLWMPRRJZOHP · pith_short_16: MLWMPRRJZOHPN3OW · pith_short_8: MLWMPRRJ

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/MLWMPRRJZOHPN3OW33R7TOFUSN \
  | 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: 62ecc7c629cb8ef6edd6dee3f9b8b493651223886cfa6222e87c43e6529aeb28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe2dc2d8b8e03991842d5f742a1f4fe43d0dd31931372da8d23ab743681f0382",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-23T21:13:16Z",
    "title_canon_sha256": "728022fff5c017f8990ad51b382aafcff56eda55175519634d0db5c06b655cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.18281",
    "kind": "arxiv",
    "version": 1
  }
}