Pith Number

pith:ROXAWXT2

pith:2015:ROXAWXT2OQFS3PGQGPHQW5N5TC

not attested not anchored not stored refs pending

Regular Totally Separable Sphere Packings

Samuel Reid

arxiv:1506.04171 v1 · 2015-06-06 · 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{ROXAWXT2OQFS3PGQGPHQW5N5TC}

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	2026-05-18T01:49:55.365093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bae0b5e7a740b2dbcd033cf0b75bd98b6a5b4d8320b21068fc683665e9b63ef

Aliases

arxiv: 1506.04171 · arxiv_version: 1506.04171v1 · doi: 10.48550/arxiv.1506.04171 · pith_short_12: ROXAWXT2OQFS · pith_short_16: ROXAWXT2OQFS3PGQ · pith_short_8: ROXAWXT2

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/ROXAWXT2OQFS3PGQGPHQW5N5TC \
  | 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: 8bae0b5e7a740b2dbcd033cf0b75bd98b6a5b4d8320b21068fc683665e9b63ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b585df37c642d2af17f074ce97267d49287891c7536924e963830f92e584f3c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-06-06T19:31:33Z",
    "title_canon_sha256": "9315314f47360afcef86809b63092b99b1254d73fb86c3ad5f67f06ff07f6d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04171",
    "kind": "arxiv",
    "version": 1
  }
}