Pith Number

pith:IDUGJJIM

pith:2025:IDUGJJIMN67TWSFVJQOPA5OQ5C

not attested not anchored not stored refs pending

Long QMDS additive code

Alessandro Giannoni, Daniele Bartoli, Giuseppe Marino, Yue Zhou

arxiv:2509.03186 v1 · 2025-09-03 · 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{IDUGJJIMN67TWSFVJQOPA5OQ5C}

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	2026-07-05T12:04:05.864765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e864a50c6fbf3b48b54c1cf075d0e8971f0bdfb8349f42f0e878373c79114a

Aliases

arxiv: 2509.03186 · arxiv_version: 2509.03186v1 · doi: 10.48550/arxiv.2509.03186 · pith_short_12: IDUGJJIMN67T · pith_short_16: IDUGJJIMN67TWSFV · pith_short_8: IDUGJJIM

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/IDUGJJIMN67TWSFVJQOPA5OQ5C \
  | 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: 40e864a50c6fbf3b48b54c1cf075d0e8971f0bdfb8349f42f0e878373c79114a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9fc505f861f6f519702dd3cd546c17675fc34cd84b81208e4b5d31a03852a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-03T10:14:41Z",
    "title_canon_sha256": "ca685a4a7f254361def3fab7d3d8e4928a2879bdf20fbceef3f1b6af70de2771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03186",
    "kind": "arxiv",
    "version": 1
  }
}