Pith Number

pith:LCQ452UW

pith:2025:LCQ452UWAIWKCW7B3HW3RMEIK3

not attested not anchored not stored refs pending

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry

Cordian Riener, Thi Xuan Vu

arxiv:2507.23728 v1 · 2025-07-31 · 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{LCQ452UWAIWKCW7B3HW3RMEIK3}

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	2026-07-05T11:46:30.137559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a1ceea96022ca15be1d9edb8b08856cb2cac589f1ab2d2d1fc9fd6d2b12811

Aliases

arxiv: 2507.23728 · arxiv_version: 2507.23728v1 · doi: 10.48550/arxiv.2507.23728 · pith_short_12: LCQ452UWAIWK · pith_short_16: LCQ452UWAIWKCW7B · pith_short_8: LCQ452UW

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/LCQ452UWAIWKCW7B3HW3RMEIK3 \
  | 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: 58a1ceea96022ca15be1d9edb8b08856cb2cac589f1ab2d2d1fc9fd6d2b12811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6c871f5510116e5960852a9e810b80ff589f9b24ac418b715836758fda2e1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-31T17:03:03Z",
    "title_canon_sha256": "34fd4da4eaf0739dc198c6691bedfed7ea7fcd1052c234d62398cfa6133fcdc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23728",
    "kind": "arxiv",
    "version": 1
  }
}