Pith Number

pith:BNKFJXE4

pith:2025:BNKFJXE4FFWLL2CNW4SIJXKI3N

not attested not anchored not stored refs pending

An orthogonal perspective on Gauss composition

Haochen Wu, John Voight

arxiv:2511.03987 v2 · 2025-11-06 · math.RA · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNKFJXE4FFWLL2CNW4SIJXKI3N}

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	2026-06-23T03:14:27.554525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5454dc9c296cb5e84db72484dd48db758b6dfb480a1b891648b7946f93284c

Aliases

arxiv: 2511.03987 · arxiv_version: 2511.03987v2 · doi: 10.48550/arxiv.2511.03987 · pith_short_12: BNKFJXE4FFWL · pith_short_16: BNKFJXE4FFWLL2CN · pith_short_8: BNKFJXE4

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/BNKFJXE4FFWLL2CNW4SIJXKI3N \
  | 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: 0b5454dc9c296cb5e84db72484dd48db758b6dfb480a1b891648b7946f93284c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a4bccd117edd3265360f94213d28cd2b8c2b234f938c15b2d88407170a0c2c",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-11-06T02:17:47Z",
    "title_canon_sha256": "8220e59e6eaad48ba2b89d416ee6bde4a2969b9350ceae4438a159452b6cbcca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03987",
    "kind": "arxiv",
    "version": 2
  }
}