Pith Number

pith:AIIRG2U5

pith:2016:AIIRG2U5FKJTXQPLCGQEB6DSUF

not attested not anchored not stored refs pending

On Arrangements of Six, Seven, and Eight Spheres: Maximal Bonding of Monatomic Ionic Compounds

Samuel Reid

arxiv:1603.08201 v1 · 2016-03-27 · 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{AIIRG2U5FKJTXQPLCGQEB6DSUF}

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	2026-05-18T01:18:12.937839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0211136a9d2a933bc1eb11a040f872a15ca94daabc97f0328f1a27f794e98488

Aliases

arxiv: 1603.08201 · arxiv_version: 1603.08201v1 · doi: 10.48550/arxiv.1603.08201 · pith_short_12: AIIRG2U5FKJT · pith_short_16: AIIRG2U5FKJTXQPL · pith_short_8: AIIRG2U5

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/AIIRG2U5FKJTXQPLCGQEB6DSUF \
  | 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: 0211136a9d2a933bc1eb11a040f872a15ca94daabc97f0328f1a27f794e98488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4430c76f7210b32793f0123e44ccae9d6f7b13f7c37e17a5b7e09527a1eeee48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-27T10:48:36Z",
    "title_canon_sha256": "3a247d67bc841a68fefcd5eca9c2ed15fd0d0f65fc2011560b412f9e06ac4137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08201",
    "kind": "arxiv",
    "version": 1
  }
}