Pith Number

pith:CHREL2Q3

pith:2024:CHREL2Q33VDG4QO5BPC6M5Q5T6

not attested not anchored not stored refs pending

Sums of squares of regular functions on rational surfaces

Tomasz Kowalczyk

arxiv:2407.20378 v2 · 2024-07-29 · 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{CHREL2Q33VDG4QO5BPC6M5Q5T6}

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.

Cited by

2 papers in Pith

Sums of squares on curves and surfaces

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-07-05T11:28:10.690895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e245ea1bdd466e41dd0bc5e6761d9fb073696ba398e7b888cf57b830629fbb

Aliases

arxiv: 2407.20378 · arxiv_version: 2407.20378v2 · doi: 10.48550/arxiv.2407.20378 · pith_short_12: CHREL2Q33VDG · pith_short_16: CHREL2Q33VDG4QO5 · pith_short_8: CHREL2Q3

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/CHREL2Q33VDG4QO5BPC6M5Q5T6 \
  | 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: 11e245ea1bdd466e41dd0bc5e6761d9fb073696ba398e7b888cf57b830629fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335c28cb87c2922403dd833a7052e729cd713828d34301fc7c15eed12b638321",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-07-29T19:06:46Z",
    "title_canon_sha256": "46406e8379d74c3a7f8f5df137e02c20e7e0936c446a59b35217eec9e7006d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20378",
    "kind": "arxiv",
    "version": 2
  }
}