Pith Number

pith:645F455S

pith:2026:645F455S3H6LTDDOJJJ6WD46KV

not attested not anchored not stored refs pending

Square roots in the Appell group and Sprugnoli arrays

Paul Barry

arxiv:2608.01497 v1 · 2026-08-02 · 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{645F455S3H6LTDDOJJJ6WD46KV}

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	2026-08-04T02:05:44.114875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73a5e77b2d9fcb98c6e4a53eb0f9e55510c3ae9a82c7234cc89d80b4fc62f76

Aliases

arxiv: 2608.01497 · arxiv_version: 2608.01497v1 · doi: 10.48550/arxiv.2608.01497 · pith_short_12: 645F455S3H6L · pith_short_16: 645F455S3H6LTDDO · pith_short_8: 645F455S

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/645F455S3H6LTDDOJJJ6WD46KV \
  | 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: f73a5e77b2d9fcb98c6e4a53eb0f9e55510c3ae9a82c7234cc89d80b4fc62f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f26bb6c809380b6c2950674414af96584f70dd8c19b10fa08f47d4da63b002",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-02T20:58:59Z",
    "title_canon_sha256": "4c18048ca305c1d81930e07caf3393f9cedf18e2d63ab2f7b42af32bd12b6597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01497",
    "kind": "arxiv",
    "version": 1
  }
}