Pith Number

pith:I6C2BMMJ

pith:2026:I6C2BMMJHF2S5NDEPUAU5AT4DF

not attested not anchored not stored refs pending

Any-dimensional Positivstellens\"atze for symmetric functions

Robin Schabert, Sebastian Debus

arxiv:2606.27551 v1 · 2026-06-25 · math.AG · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6C2BMMJHF2S5NDEPUAU5AT4DF}

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	2026-06-29T00:14:09.801354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4785a0b18939752eb4647d014e827c195c17aff56dba1212d0f5499a1a6d8241

Aliases

arxiv: 2606.27551 · arxiv_version: 2606.27551v1 · doi: 10.48550/arxiv.2606.27551 · pith_short_12: I6C2BMMJHF2S · pith_short_16: I6C2BMMJHF2S5NDE · pith_short_8: I6C2BMMJ

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/I6C2BMMJHF2S5NDEPUAU5AT4DF \
  | 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: 4785a0b18939752eb4647d014e827c195c17aff56dba1212d0f5499a1a6d8241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da964714ca0b9bdeffa76390dc39cb917348f5ffac49a4b2564e79667fd21bc",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-25T20:56:05Z",
    "title_canon_sha256": "a21433fdc5b1a3d9f411708def558dec8c6da0af62fc76b8719cc769c49c6f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27551",
    "kind": "arxiv",
    "version": 1
  }
}