Pith Number

pith:DVAR4EE7

pith:2016:DVAR4EE7EJIX4F5XQEMKTLCYKB

not attested not anchored not stored refs pending

Bounds for spherical codes

Benny Sudakov, Peter Keevash

arxiv:1602.07645 v1 · 2016-02-24 · math.CO · 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{DVAR4EE7EJIX4F5XQEMKTLCYKB}

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	2026-05-18T01:20:02.400922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d411e109f22517e17b78118a9ac5850468f78e46cdb0fd526d9f8ecc8c658b5

Aliases

arxiv: 1602.07645 · arxiv_version: 1602.07645v1 · doi: 10.48550/arxiv.1602.07645 · pith_short_12: DVAR4EE7EJIX · pith_short_16: DVAR4EE7EJIX4F5X · pith_short_8: DVAR4EE7

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/DVAR4EE7EJIX4F5XQEMKTLCYKB \
  | 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: 1d411e109f22517e17b78118a9ac5850468f78e46cdb0fd526d9f8ecc8c658b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d136e479f7f2a6e8db64e46532a160ea1a7d6818620be4e733918d16fc136261",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-24T19:35:23Z",
    "title_canon_sha256": "2633e498a8a371f362a449a5ca86ff6ed096a0681a6a310b1f4bab8535f9f7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07645",
    "kind": "arxiv",
    "version": 1
  }
}