Pith Number

pith:QGG5DGZT

pith:2025:QGG5DGZTYLG7IQ5GBRWGFK6WWK

not attested not anchored not stored refs pending

The Berger-Wang formula for order-preserving homogeneous maps on cones

Aljo\v{s}a Peperko, Brian Lins

arxiv:2509.02787 v1 · 2025-09-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGG5DGZTYLG7IQ5GBRWGFK6WWK}

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	2026-07-05T12:03:57.703372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818dd19b33c2cdf443a60c6c62abd6b2aa6d71afff1fe51ed0e33e8170dc3b90

Aliases

arxiv: 2509.02787 · arxiv_version: 2509.02787v1 · doi: 10.48550/arxiv.2509.02787 · pith_short_12: QGG5DGZTYLG7 · pith_short_16: QGG5DGZTYLG7IQ5G · pith_short_8: QGG5DGZT

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/QGG5DGZTYLG7IQ5GBRWGFK6WWK \
  | 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: 818dd19b33c2cdf443a60c6c62abd6b2aa6d71afff1fe51ed0e33e8170dc3b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5e559b26929e19a3fdf3e7041d20ef22bf770454903bc75b5e76c0f09b739e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-02T19:43:05Z",
    "title_canon_sha256": "1120bfca294c306041939e9f12037cfde08979ec7298d1d57803bcb1fb1417ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02787",
    "kind": "arxiv",
    "version": 1
  }
}