Pith Number

pith:ZAANUDNG

pith:2026:ZAANUDNGW4YHD4S5TTBNIZ55PM

not attested not anchored not stored refs pending

Monotonicity of isotropic tensor functions on the set of symmetric matrices: completing Rodney Hill's generalization of the Chandler Davis convexity theorem

Ionel-Dumitrel Ghiba, Jendrik Voss, Macro Valerio d'Agostino, Patrizio Neff, Robert J. Martin

arxiv:2608.07087 v1 · 2026-08-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAANUDNGW4YHD4S5TTBNIZ55PM}

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	2026-08-10T01:13:10.928206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c800da0da6b73071f25d9cc2d467bd7b23d13e2abb82783420ddffe058541d33

Aliases

arxiv: 2608.07087 · arxiv_version: 2608.07087v1 · doi: 10.48550/arxiv.2608.07087 · pith_short_12: ZAANUDNGW4YH · pith_short_16: ZAANUDNGW4YHD4S5 · pith_short_8: ZAANUDNG

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/ZAANUDNGW4YHD4S5TTBNIZ55PM \
  | 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: c800da0da6b73071f25d9cc2d467bd7b23d13e2abb82783420ddffe058541d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9ad32718001d8bbe70fadb0cb104aee8f4e45cd2b8dac7dd5fe2b194f5d13d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-07T10:39:36Z",
    "title_canon_sha256": "150033b9cbc36fbbd12bb88b9fc673bdb6dcffe115ed973eda970246d61c23c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07087",
    "kind": "arxiv",
    "version": 1
  }
}