Pith Number

pith:TEXWXLG7

pith:2015:TEXWXLG775H7LN2RILBQMAOHLI

not attested not anchored not stored refs pending

Configurations of Extremal Type II Codes

Noam D. Elkies, Scott Duke Kominers

arxiv:1503.04297 v1 · 2015-03-14 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEXWXLG775H7LN2RILBQMAOHLI}

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	2026-05-18T02:23:25.511093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

992f6bacdfff4ff5b75142c30601c75a1eca06a25dafe581136ec904533ec4ff

Aliases

arxiv: 1503.04297 · arxiv_version: 1503.04297v1 · doi: 10.48550/arxiv.1503.04297 · pith_short_12: TEXWXLG775H7 · pith_short_16: TEXWXLG775H7LN2R · pith_short_8: TEXWXLG7

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/TEXWXLG775H7LN2RILBQMAOHLI \
  | 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: 992f6bacdfff4ff5b75142c30601c75a1eca06a25dafe581136ec904533ec4ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6114f851002d3054718bdc86d4124ea9a87c7d7f11fc99b2cd02e4a5259a09bf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-14T12:12:39Z",
    "title_canon_sha256": "6bd6524d879991dc8e9289de15251cdf341358d6e94a06ebd6b9a50fe32c09e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04297",
    "kind": "arxiv",
    "version": 1
  }
}