Pith Number

pith:QGKERAP7

pith:2019:QGKERAP7JQTXVDSUNLFPXWRLAP

not attested not anchored not stored refs pending

Sphere Packing and Quantum Gravity

Dalimil Maz\'a\v{c}, Leonardo Rastelli, Thomas Hartman

arxiv:1905.01319 v2 · 2019-05-03 · hep-th · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGKERAP7JQTXVDSUNLFPXWRLAP}

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

3 papers in Pith

Descending into the Modular Bootstrap

Upgrading Extremal Flows in the Space of Derivatives

Cusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24

Receipt and verification

First computed	2026-07-05T00:36:22.546182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81944881ff4c277a8e546acafbda2b03c009a21663f9fd31f62a77cd67a53b23

Aliases

arxiv: 1905.01319 · arxiv_version: 1905.01319v2 · doi: 10.48550/arxiv.1905.01319 · pith_short_12: QGKERAP7JQTX · pith_short_16: QGKERAP7JQTXVDSU · pith_short_8: QGKERAP7

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/QGKERAP7JQTXVDSUNLFPXWRLAP \
  | 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: 81944881ff4c277a8e546acafbda2b03c009a21663f9fd31f62a77cd67a53b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174e263a69887f2ab38e79f9d337ee6894a668c9a78bc196a1a905afa5857611",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-05-03T18:00:09Z",
    "title_canon_sha256": "347b962d50991c738ac5013f3eb2816c4db9305403a1ca6e2dc28d4364de4ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01319",
    "kind": "arxiv",
    "version": 2
  }
}