Pith Number

pith:QWYMVOUG

pith:2024:QWYMVOUGF2BNDMC3GL7T4UGVYT

not attested not anchored not stored refs pending

A note on the no-$(d+2)$-on-a-sphere problem

Andrew Suk, Ethan Patrick White

arxiv:2412.02866 v1 · 2024-12-03 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWYMVOUGF2BNDMC3GL7T4UGVYT}

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

Mathematical exploration and discovery at scale

Receipt and verification

First computed	2026-07-05T09:44:21.037985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b0caba862e82d1b05b32ff3e50d5c4ffa6d358134d50cb17aa85514a8d0997

Aliases

arxiv: 2412.02866 · arxiv_version: 2412.02866v1 · doi: 10.48550/arxiv.2412.02866 · pith_short_12: QWYMVOUGF2BN · pith_short_16: QWYMVOUGF2BNDMC3 · pith_short_8: QWYMVOUG

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/QWYMVOUGF2BNDMC3GL7T4UGVYT \
  | 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: 85b0caba862e82d1b05b32ff3e50d5c4ffa6d358134d50cb17aa85514a8d0997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba76ea8798c158e867656a9931127fb634ab0382c9dd22ba9658965d61b91d2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-03T22:01:23Z",
    "title_canon_sha256": "23a8019cbf659b0b18e3dbe956bc7759140f6636821b7a3a0edab80401a4ec46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02866",
    "kind": "arxiv",
    "version": 1
  }
}