Pith Number

pith:PRMXIHR5

pith:2025:PRMXIHR5NRX2ZLNOZMBKOQP2GT

not attested not anchored not stored refs pending

Linear operators preserving volume polynomials

Botong Wang, Hendrik S\"uss, June Huh, Lukas Grund, Mateusz Micha{\l}ek

arxiv:2506.22415 v1 · 2025-06-27 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRMXIHR5NRX2ZLNOZMBKOQP2GT}

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

Copositive Matrices with Ordered Off-Diagonal Entries

Induced Lorentzian and volume polynomials

Receipt and verification

First computed	2026-07-05T11:28:27.174060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c59741e3d6c6facadaecb02a741fa34e449a3e4f488e2f4d75cdd711e53ddc8

Aliases

arxiv: 2506.22415 · arxiv_version: 2506.22415v1 · doi: 10.48550/arxiv.2506.22415 · pith_short_12: PRMXIHR5NRX2 · pith_short_16: PRMXIHR5NRX2ZLNO · pith_short_8: PRMXIHR5

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/PRMXIHR5NRX2ZLNOZMBKOQP2GT \
  | 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: 7c59741e3d6c6facadaecb02a741fa34e449a3e4f488e2f4d75cdd711e53ddc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e085783ccf0dd0fbce48d1f6f56e6cad31fa215d39a51526f9c93d4d167c46b0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-27T17:42:27Z",
    "title_canon_sha256": "a71827b1d492047dc18ebdc8c02bc973f5ff424c89b53d0aacb3a8fdc1b252dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22415",
    "kind": "arxiv",
    "version": 1
  }
}