Pith Number

pith:DVGE2TOP

pith:2020:DVGE2TOPJTEGY2V6AAHPA7YN5O

not attested not anchored not stored refs pending

High-dimensional sphere packing and the modular bootstrap

Amirhossein Tajdini, David de Laat, Henry Cohn, Nima Afkhami-Jeddi, Thomas Hartman

arxiv:2006.02560 v2 · 2020-06-03 · hep-th · 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{DVGE2TOPJTEGY2V6AAHPA7YN5O}

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

Upgrading Extremal Flows in the Space of Derivatives

Receipt and verification

First computed	2026-07-05T01:59:12.362205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4c4d4dcf4cc86c6abe000ef07f0deb9beb489892091139f78350bf6c0def62

Aliases

arxiv: 2006.02560 · arxiv_version: 2006.02560v2 · doi: 10.48550/arxiv.2006.02560 · pith_short_12: DVGE2TOPJTEG · pith_short_16: DVGE2TOPJTEGY2V6 · pith_short_8: DVGE2TOP

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/DVGE2TOPJTEGY2V6AAHPA7YN5O \
  | 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: 1d4c4d4dcf4cc86c6abe000ef07f0deb9beb489892091139f78350bf6c0def62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e750e02774008d731fb8db05d60f606ec62eac657698ed73642a01b5cc56b6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-06-03T22:07:48Z",
    "title_canon_sha256": "e1862697e4c81e8ffe1c58fb600e54b0068ad1830923f1c97b0f12141d33f949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02560",
    "kind": "arxiv",
    "version": 2
  }
}