Pith Number

pith:VI4E5GGV

pith:2018:VI4E5GGVDNXBETATTKNZQPWV2M

not attested not anchored not stored refs pending

Spectra of Hadamard matrices

Eric Swartz, Padraig O Cathain, Ronan Egan

arxiv:1807.04238 v2 · 2018-07-11 · 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{VI4E5GGVDNXBETATTKNZQPWV2M}

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	2026-05-17T23:56:29.656907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa384e98d51b6e124c139a9b983ed5d33ac43695b2f1a8ea7f4ad7f8ee516891

Aliases

arxiv: 1807.04238 · arxiv_version: 1807.04238v2 · doi: 10.48550/arxiv.1807.04238 · pith_short_12: VI4E5GGVDNXB · pith_short_16: VI4E5GGVDNXBETAT · pith_short_8: VI4E5GGV

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/VI4E5GGVDNXBETATTKNZQPWV2M \
  | 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: aa384e98d51b6e124c139a9b983ed5d33ac43695b2f1a8ea7f4ad7f8ee516891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a256d34af21aec9c664c52a5fad777e3989eaaf65d67881c813d2319a02a1df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-11T16:38:17Z",
    "title_canon_sha256": "07e7172c015c03857710ec8da8fe1a92c306636c611b565bbe5419c5993a6285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04238",
    "kind": "arxiv",
    "version": 2
  }
}