Pith Number

pith:J3ZUIGMH

pith:2026:J3ZUIGMH5B7RQOVTASERPSQ43G

not attested not anchored not stored refs pending

Sums of squares on curves and surfaces

Bart{\l}omiej Bychawski, Bartosz G{\l}owacki, Tomasz Kowalczyk

arxiv:2606.22401 v1 · 2026-06-21 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3ZUIGMH5B7RQOVTASERPSQ43G}

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	2026-06-23T02:13:37.453521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef3441987e87f183ab3048917ca1cd9912f12985800ff25ee1ba12acec5608a

Aliases

arxiv: 2606.22401 · arxiv_version: 2606.22401v1 · doi: 10.48550/arxiv.2606.22401 · pith_short_12: J3ZUIGMH5B7R · pith_short_16: J3ZUIGMH5B7RQOVT · pith_short_8: J3ZUIGMH

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/J3ZUIGMH5B7RQOVTASERPSQ43G \
  | 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: 4ef3441987e87f183ab3048917ca1cd9912f12985800ff25ee1ba12acec5608a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79005b2b0450fcc37f009d0196935619a673428612f17333e5fcd49c65fd7872",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-21T09:15:40Z",
    "title_canon_sha256": "11220be892614257aac9baa6edaddaba4b735a1296ac3c42ba23f755b0ce5ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22401",
    "kind": "arxiv",
    "version": 1
  }
}