Pith Number

pith:EN56ZT4K

pith:2023:EN56ZT4KBGDYVWE24IK275VJHL

not attested not anchored not stored refs pending

A new lower bound for sphere packing

Julian Sahasrabudhe, Marcelo Campos, Marcus Michelen, Matthew Jenssen

arxiv:2312.10026 v1 · 2023-12-15 · math.MG · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EN56ZT4KBGDYVWE24IK275VJHL}

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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

4 papers in Pith

Stochastically evolving ellipsoids with symmetries

The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings

Deterministic Volume Estimation of Truncated Hypercubes

Rado's covering problem for cubes and balls: a semi-survey

Receipt and verification

First computed	2026-07-05T07:24:43.941595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

237beccf8a09878ad89ae215aff6a93af6130401709ec7aba09980dae329aa61

Aliases

arxiv: 2312.10026 · arxiv_version: 2312.10026v1 · doi: 10.48550/arxiv.2312.10026 · pith_short_12: EN56ZT4KBGDY · pith_short_16: EN56ZT4KBGDYVWE2 · pith_short_8: EN56ZT4K

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/EN56ZT4KBGDYVWE24IK275VJHL \
  | 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: 237beccf8a09878ad89ae215aff6a93af6130401709ec7aba09980dae329aa61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b5ba90e635963c07b38a5621aac5cfdbf8b35dec8720aaf8ef9d0505e03c1d",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-12-15T18:46:48Z",
    "title_canon_sha256": "e140face7408165cc7e7a9189b9725c8f98ad242282db68266341b9b6284317f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10026",
    "kind": "arxiv",
    "version": 1
  }
}